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56164505650 = 252111722291543
BaseRepresentation
bin110100010011101010…
…100101100000110010
312100222012102111121221
4310103222211200302
51410011103140100
641445052135254
74025544264301
oct642352454062
9170865374557
1056164505650
1121901443420
12aa7546752a
1353b0c45cc6
142a0b322438
1516dab7501a
hexd13aa5832

56164505650 has 144 divisors (see below), whose sum is σ = 121668373440. Its totient is φ = 19125734400.

The previous prime is 56164505591. The next prime is 56164505651. The reversal of 56164505650 is 5650546165.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56164505597 and 56164505606.

It is not an unprimeable number, because it can be changed into a prime (56164505651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36398779 + ... + 36400321.

It is an arithmetic number, because the mean of its divisors is an integer number (844919260).

Almost surely, 256164505650 is an apocalyptic number.

56164505650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56164505650 is an abundant number, since it is smaller than the sum of its proper divisors (65503867790).

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

56164505650 is a wasteful number, since it uses less digits than its factorization.

56164505650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 43.

The spelling of 56164505650 in words is "fifty-six billion, one hundred sixty-four million, five hundred five thousand, six hundred fifty".

Divisors: 1 2 5 10 11 17 22 25 34 50 55 85 110 170 187 229 275 289 374 425 458 550 578 850 935 1145 1445 1543 1870 2290 2519 2890 3086 3179 3893 4675 5038 5725 6358 7225 7715 7786 9350 11450 12595 14450 15430 15895 16973 19465 25190 26231 31790 33946 38575 38930 42823 52462 62975 66181 77150 79475 84865 85646 97325 125950 131155 132362 158950 169730 194650 214115 262310 288541 330905 353347 424325 428230 445927 577082 655775 661810 706694 727991 848650 891854 1070575 1311550 1442705 1455982 1654525 1766735 2141150 2229635 2885410 3309050 3533470 3639955 3886817 4459270 4905197 6006899 7213525 7279910 7773634 8833675 9810394 11148175 12013798 14427050 17667350 18199775 19434085 22296350 24525985 30034495 36399550 38868170 49051970 60068990 66075889 97170425 102117283 122629925 132151778 150172475 194340850 204234566 245259850 300344950 330379445 510586415 660758890 1021172830 1123290113 1651897225 2246580226 2552932075 3303794450 5105864150 5616450565 11232901130 28082252825 56164505650