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20905395525 = 3252731953269
BaseRepresentation
bin10011011110000011…
…110000010101000101
31222221221012010102100
4103132003300111011
5320303240124100
613334231102313
71340024634000
oct233603602505
958857163370
1020905395525
118958607093
124075211999
131c82140131
141024648537
158254b1400
hex4de0f0545

20905395525 has 288 divisors, whose sum is σ = 47005920000. Its totient is φ = 8849917440.

The previous prime is 20905395521. The next prime is 20905395529. The reversal of 20905395525 is 52559350902.

20905395525 is a `hidden beast` number, since 2 + 0 + 90 + 5 + 3 + 9 + 552 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (20905395521) and next prime (20905395529).

It is not a de Polignac number, because 20905395525 - 22 = 20905395521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20905395521) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77715091 + ... + 77715359.

It is an arithmetic number, because the mean of its divisors is an integer number (163215000).

Almost surely, 220905395525 is an apocalyptic number.

20905395525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20905395525 is an abundant number, since it is smaller than the sum of its proper divisors (26100524475).

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

20905395525 is a wasteful number, since it uses less digits than its factorization.

20905395525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 45.

The spelling of 20905395525 in words is "twenty billion, nine hundred five million, three hundred ninety-five thousand, five hundred twenty-five".