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111980663136 = 2533316168539
BaseRepresentation
bin110100001001010010…
…0010101000101100000
3101201001010101002102000
41220102210111011200
53313314022210021
6123235422124000
711042661634356
oct1502244250540
9351033332360
10111980663136
114354418a6a1
1219852120600
13a737963924
1455c42877d6
152da5e3ab26
hex1a12915160

111980663136 has 192 divisors, whose sum is σ = 342678067200. Its totient is φ = 35530099200.

The previous prime is 111980663077. The next prime is 111980663149. The reversal of 111980663136 is 631366089111.

111980663136 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 8 + 0 + 6 + 631 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 111980663091 and 111980663100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1599555 + ... + 1668093.

It is an arithmetic number, because the mean of its divisors is an integer number (1784781600).

Almost surely, 2111980663136 is an apocalyptic number.

111980663136 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 111980663136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171339033600).

111980663136 is an abundant number, since it is smaller than the sum of its proper divisors (230697404064).

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

111980663136 is a wasteful number, since it uses less digits than its factorization.

111980663136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68650 (or 68636 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 111980663136 in words is "one hundred eleven billion, nine hundred eighty million, six hundred sixty-three thousand, one hundred thirty-six".