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112356435520 = 2657213951551
BaseRepresentation
bin110100010100011110…
…1110010011001000000
3101202000022110022012201
41220220331302121000
53320101221414040
6123341004202544
711055203641600
oct1505075623100
9352008408181
10112356435520
1143717307a8a
1219937b39454
13a797771754
14561c142c00
152dc8e15a9a
hex1a28f72640

112356435520 has 168 divisors, whose sum is σ = 313475339520. Its totient is φ = 38244326400.

The previous prime is 112356435511. The next prime is 112356435559. The reversal of 112356435520 is 25534653211.

It is a self number, because there is not a number n which added to its sum of digits gives 112356435520.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2153745 + ... + 2205295.

It is an arithmetic number, because the mean of its divisors is an integer number (1865924640).

Almost surely, 2112356435520 is an apocalyptic number.

112356435520 is a gapful number since it is divisible by the number (10) 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 112356435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156737669760).

112356435520 is an abundant number, since it is smaller than the sum of its proper divisors (201118904000).

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

112356435520 is a wasteful number, since it uses less digits than its factorization.

112356435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51721 (or 51704 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 112356435520 in words is "one hundred twelve billion, three hundred fifty-six million, four hundred thirty-five thousand, five hundred twenty".