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55662396240 = 24351183254027
BaseRepresentation
bin110011110101101111…
…001100001101010000
312022200012121201000010
4303311233030031100
51402444033134430
641323154154520
74010236363413
oct636557141520
9168605551003
1055662396240
1121673a76170
12a955282a40
135330c02a49
1429a077bb7a
1516aba41cb0
hexcf5bcc350

55662396240 has 160 divisors (see below), whose sum is σ = 190508806656. Its totient is φ = 13331284480.

The previous prime is 55662396199. The next prime is 55662396247. The reversal of 55662396240 is 4269326655.

It is a super-2 number, since 2×556623962402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55662396240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55662396247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92107 + ... + 346133.

Almost surely, 255662396240 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 55662396240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95254403328).

55662396240 is an abundant number, since it is smaller than the sum of its proper divisors (134846410416).

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

55662396240 is a wasteful number, since it uses less digits than its factorization.

55662396240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254137 (or 254131 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 55662396240 in words is "fifty-five billion, six hundred sixty-two million, three hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 83 88 110 120 132 165 166 176 220 240 249 264 330 332 415 440 498 528 660 664 830 880 913 996 1245 1320 1328 1660 1826 1992 2490 2640 2739 3320 3652 3984 4565 4980 5478 6640 7304 9130 9960 10956 13695 14608 18260 19920 21912 27390 36520 43824 54780 73040 109560 219120 254027 508054 762081 1016108 1270135 1524162 2032216 2540270 2794297 3048324 3810405 4064432 5080540 5588594 6096648 7620810 8382891 10161080 11177188 12193296 13971485 15241620 16765782 20322160 21084241 22354376 27942970 30483240 33531564 41914455 42168482 44708752 55885940 60966480 63252723 67063128 83828910 84336964 105421205 111771880 126505446 134126256 167657820 168673928 210842410 223543760 231926651 253010892 316263615 335315640 337347856 421684820 463853302 506021784 632527230 670631280 695779953 843369640 927706604 1012043568 1159633255 1265054460 1391559906 1686739280 1855413208 2319266510 2530108920 2783119812 3478899765 3710826416 4638533020 5060217840 5566239624 6957799530 9277066040 11132479248 13915599060 18554132080 27831198120 55662396240