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20120975424 = 263511117617
BaseRepresentation
bin10010101111010011…
…011011100001000000
31220221021011110100000
4102233103123201000
5312201432203144
613124330200000
71311421316634
oct225723334100
956837143300
1020120975424
118595847710
123a96583000
131b88783824
14d8c3b6dc4
157cb6b5769
hex4af4db840

20120975424 has 168 divisors, whose sum is σ = 65246938848. Its totient is φ = 6097213440.

The previous prime is 20120975419. The next prime is 20120975449. The reversal of 20120975424 is 42457902102.

20120975424 is a `hidden beast` number, since 2 + 0 + 1 + 20 + 97 + 542 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 112264 + ... + 229880.

It is an arithmetic number, because the mean of its divisors is an integer number (388374636).

Almost surely, 220120975424 is an apocalyptic number.

20120975424 is a gapful number since it is divisible by the number (24) 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 20120975424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32623469424).

20120975424 is an abundant number, since it is smaller than the sum of its proper divisors (45125963424).

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

20120975424 is a wasteful number, since it uses less digits than its factorization.

20120975424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117655 (or 117633 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20120975424 in words is "twenty billion, one hundred twenty million, nine hundred seventy-five thousand, four hundred twenty-four".