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20704187520 = 273351923319
BaseRepresentation
bin10011010010000100…
…001101010010000000
31222102220120200221000
4103102010031102000
5314400233000040
613302242332000
71332032455512
oct232204152200
958386520830
1020704187520
118864a79585
12401995a000
131c4c552043
141005a2dbb2
158129b9130
hex4d210d480

20704187520 has 384 divisors, whose sum is σ = 77413104000. Its totient is φ = 5228955648.

The previous prime is 20704187509. The next prime is 20704187531. The reversal of 20704187520 is 2578140702.

20704187520 is a `hidden beast` number, since 20 + 70 + 41 + 8 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (20704187509) and next prime (20704187531).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6236421 + ... + 6239739.

It is an arithmetic number, because the mean of its divisors is an integer number (201596625).

Almost surely, 220704187520 is an apocalyptic number.

20704187520 is a gapful number since it is divisible by the number (20) 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 20704187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38706552000).

20704187520 is an abundant number, since it is smaller than the sum of its proper divisors (56708916480).

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

20704187520 is a wasteful number, since it uses less digits than its factorization.

20704187520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 20704187520 in words is "twenty billion, seven hundred four million, one hundred eighty-seven thousand, five hundred twenty".