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112779902628 = 22327973930709
BaseRepresentation
bin110100100001000110…
…1001011111010100100
3101210002211021122212200
41221002031023322210
53321433123341003
6123451012414500
711101535232561
oct1510215137244
9353084248780
10112779902628
11439143510a8
1219a35917430
13a83440b5c3
14565c495868
152e011b26a3
hex1a4234bea4

112779902628 has 36 divisors (see below), whose sum is σ = 285440298780. Its totient is φ = 37546122816.

The previous prime is 112779902603. The next prime is 112779902647. The reversal of 112779902628 is 826209977211.

112779902628 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 7 + 9 + 9 + 0 + 2 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89794916964 + 22984985664 = 299658^2 + 151608^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1127799026282 (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1936663 + ... + 1994046.

Almost surely, 2112779902628 is an apocalyptic number.

112779902628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112779902628 is an abundant number, since it is smaller than the sum of its proper divisors (172660396152).

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

112779902628 is a wasteful number, since it uses less digits than its factorization.

112779902628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931516 (or 3931511 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 112779902628 in words is "one hundred twelve billion, seven hundred seventy-nine million, nine hundred two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 797 1594 2391 3188 4782 7173 9564 14346 28692 3930709 7861418 11792127 15722836 23584254 35376381 47168508 70752762 141505524 3132775073 6265550146 9398325219 12531100292 18796650438 28194975657 37593300876 56389951314 112779902628