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55961300621040 = 24353118014176391
BaseRepresentation
bin11001011100101100000010…
…11100011101011011110000
321100010211220020222200012020
430232112001130131123300
524313332220424333130
6315004133330231440
714534033124556503
oct1456260134353360
9240124806880166
1055961300621040
1116916066324321
126339812425580
13252c1882c5069
14db678186d13a
15670a363c4e10
hex32e58171d6f0

55961300621040 has 160 divisors (see below), whose sum is σ = 179175636406272. Its totient is φ = 14433603840000.

The previous prime is 55961300620999. The next prime is 55961300621041. The reversal of 55961300621040 is 4012600316955.

55961300621040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55961300620983 and 55961300621001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55961300621041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11311245 + ... + 15487635.

Almost surely, 255961300621040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55961300621040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89587818203136).

55961300621040 is an abundant number, since it is smaller than the sum of its proper divisors (123214335785232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55961300621040 is a wasteful number, since it uses less digits than its factorization.

55961300621040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178239 (or 4178233 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

Adding to 55961300621040 its reverse (4012600316955), we get a palindrome (59973900937995).

The spelling of 55961300621040 in words is "fifty-five trillion, nine hundred sixty-one billion, three hundred million, six hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1801 1860 2480 3602 3720 5403 7204 7440 9005 10806 14408 18010 21612 27015 28816 36020 43224 54030 55831 72040 86448 108060 111662 144080 167493 216120 223324 279155 334986 432240 446648 558310 669972 837465 893296 1116620 1339944 1674930 2233240 2679888 3349860 4176391 4466480 6699720 8352782 12529173 13399440 16705564 20881955 25058346 33411128 41763910 50116692 62645865 66822256 83527820 100233384 125291730 129468121 167055640 200466768 250583460 258936242 334111280 388404363 501166920 517872484 647340605 776808726 1002333840 1035744968 1294681210 1553617452 1942021815 2071489936 2589362420 3107234904 3884043630 5178724840 6214469808 7521680191 7768087260 10357449680 15043360382 15536174520 22565040573 30086720764 31072349040 37608400955 45130081146 60173441528 75216801910 90260162292 112825202865 120346883056 150433603820 180520324584 225650405730 233172085921 300867207640 361040649168 451300811460 466344171842 601734415280 699516257763 902601622920 932688343684 1165860429605 1399032515526 1805203245840 1865376687368 2331720859210 2798065031052 3497581288815 3730753374736 4663441718420 5596130062104 6995162577630 9326883436840 11192260124208 13990325155260 18653766873680 27980650310520 55961300621040