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53813344680 = 2334549133827
BaseRepresentation
bin110010000111100001…
…100111100110101000
312010220100022011010000
4302013201213212220
51340202204012210
640415502423000
73613354611504
oct620741474650
9163810264100
1053813344680
1120905259387
12a519b91a60
1350c7aca1b4
142866d77304
1515ee549ac0
hexc878679a8

53813344680 has 160 divisors (see below), whose sum is σ = 181246364640. Its totient is φ = 14320575360.

The previous prime is 53813344679. The next prime is 53813344729. The reversal of 53813344680 is 8644331835.

53813344680 is a `hidden beast` number, since 53 + 8 + 133 + 4 + 468 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1573927 + ... + 1607753.

It is an arithmetic number, because the mean of its divisors is an integer number (1132789779).

Almost surely, 253813344680 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 53813344680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90623182320).

53813344680 is an abundant number, since it is smaller than the sum of its proper divisors (127433019960).

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

53813344680 is a wasteful number, since it uses less digits than its factorization.

53813344680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34341 (or 34328 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 53813344680 in words is "fifty-three billion, eight hundred thirteen million, three hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 491 540 648 810 982 1080 1473 1620 1964 2455 2946 3240 3928 4419 4910 5892 7365 8838 9820 11784 13257 14730 17676 19640 22095 26514 29460 33827 35352 39771 44190 53028 58920 66285 67654 79542 88380 101481 106056 132570 135308 159084 169135 176760 198855 202962 265140 270616 304443 318168 338270 397710 405924 507405 530280 608886 676540 795420 811848 913329 1014810 1217772 1353080 1522215 1590840 1826658 2029620 2435544 2739987 3044430 3653316 4059240 4566645 5479974 6088860 7306632 9133290 10959948 12177720 13699935 16609057 18266580 21919896 27399870 33218114 36533160 49827171 54799740 66436228 83045285 99654342 109599480 132872456 149481513 166090570 199308684 249135855 298963026 332181140 398617368 448444539 498271710 597926052 664362280 747407565 896889078 996543420 1195852104 1345333617 1494815130 1793778156 1993086840 2242222695 2690667234 2989630260 3587556312 4484445390 5381334468 5979260520 6726668085 8968890780 10762668936 13453336170 17937781560 26906672340 53813344680