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111355500656 = 24171932296673
BaseRepresentation
bin110011110110101001…
…1100001100001110000
3101122102120000112201002
41213231103201201300
53311024002010111
6123053410501132
711021331065261
oct1475523414160
9348376015632
10111355500656
1143253305894
12196b88947a8
13a668297bba
145565230968
152d6b0ec63b
hex19ed4e1870

111355500656 has 80 divisors (see below), whose sum is σ = 240576343200. Its totient is φ = 49621745664.

The previous prime is 111355500647. The next prime is 111355500709. The reversal of 111355500656 is 656005553111.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16684136 + ... + 16690808.

It is an arithmetic number, because the mean of its divisors is an integer number (3007204290).

Almost surely, 2111355500656 is an apocalyptic number.

111355500656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111355500656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120288171600).

111355500656 is an abundant number, since it is smaller than the sum of its proper divisors (129220842544).

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

111355500656 is a wasteful number, since it uses less digits than its factorization.

111355500656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9946 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 38.

The spelling of 111355500656 in words is "one hundred eleven billion, three hundred fifty-five million, five hundred thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2584 3229 5168 6458 6673 12916 13346 25832 26692 51664 53384 54893 61351 106768 109786 113441 122702 126787 219572 226882 245404 253574 439144 453764 490808 507148 878288 907528 981616 1014296 1042967 1815056 2028592 2085934 2155379 4171868 4310758 8343736 8621516 16687472 17243032 21547117 34486064 43094234 86188468 172376936 344753872 366300989 409395223 732601978 818790446 1465203956 1637580892 2930407912 3275161784 5860815824 6550323568 6959718791 13919437582 27838875164 55677750328 111355500656