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56612626160 = 2451724159723
BaseRepresentation
bin110100101110011000…
…000001111011110000
312102010102122101101212
4310232120001323300
51411420313014120
642001341015252
74042625245136
oct645630017360
9172112571355
1056612626160
1122011395a52
12ab7b554528
135452a3537c
142a50a51756
1517151916c5
hexd2e601ef0

56612626160 has 120 divisors (see below), whose sum is σ = 143235113616. Its totient is φ = 20792811520.

The previous prime is 56612626153. The next prime is 56612626163. The reversal of 56612626160 is 6162621665.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56612626163) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 918059 + ... + 977781.

Almost surely, 256612626160 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 56612626160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71617556808).

56612626160 is an abundant number, since it is smaller than the sum of its proper divisors (86622487456).

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

56612626160 is a wasteful number, since it uses less digits than its factorization.

56612626160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59811 (or 59788 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

It can be divided in two parts, 56 and 612626160, that added together give a palindrome (612626216).

The spelling of 56612626160 in words is "fifty-six billion, six hundred twelve million, six hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 205 272 289 328 340 410 578 656 680 697 820 1156 1360 1394 1445 1640 2312 2788 2890 3280 3485 4624 5576 5780 6970 11152 11560 11849 13940 23120 23698 27880 47396 55760 59245 59723 94792 118490 119446 189584 236980 238892 298615 473960 477784 597230 947920 955568 1015291 1194460 2030582 2388920 2448643 4061164 4777840 4897286 5076455 8122328 9794572 10152910 12243215 16244656 17259947 19589144 20305820 24486430 34519894 39178288 40611640 41626931 48972860 69039788 81223280 83253862 86299735 97945720 138079576 166507724 172599470 195891440 208134655 276159152 333015448 345198940 416269310 666030896 690397880 707657827 832538620 1380795760 1415315654 1665077240 2830631308 3330154480 3538289135 5661262616 7076578270 11322525232 14153156540 28306313080 56612626160