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20187275904 = 2732231913989
BaseRepresentation
bin10010110011010000…
…010110001010000000
31221002212220212111100
4102303100112022000
5312320420312104
613135055214400
71313155004535
oct226320261200
957085825440
1020187275904
11861a2111a4
123ab4817400
131b99428493
14d97114d8c
157d2410139
hex4b3416280

20187275904 has 192 divisors, whose sum is σ = 60949324800. Its totient is φ = 6401218560.

The previous prime is 20187275873. The next prime is 20187276007. The reversal of 20187275904 is 40957278102.

It is a happy number.

20187275904 is a `hidden beast` number, since 20 + 18 + 7 + 27 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×201872759042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20187275904.

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, 5058742 + ... + 5062730.

It is an arithmetic number, because the mean of its divisors is an integer number (317444400).

Almost surely, 220187275904 is an apocalyptic number.

20187275904 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 20187275904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30474662400).

20187275904 is an abundant number, since it is smaller than the sum of its proper divisors (40762048896).

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

20187275904 is a wasteful number, since it uses less digits than its factorization.

20187275904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 20187275904 in words is "twenty billion, one hundred eighty-seven million, two hundred seventy-five thousand, nine hundred four".