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20125462500 = 2234551113139
BaseRepresentation
bin10010101111100100…
…100010111111100100
31220221120121102110000
4102233210202333210
5312204104300000
613125010301300
71311504415533
oct225744427744
956846542400
1020125462500
118598331940
123a97b87830
131b89694cc0
14d8cc2431a
157cbca0000
hex4af922fe4

20125462500 has 720 divisors, whose sum is σ = 77813144640. Its totient is φ = 4471200000.

The previous prime is 20125462481. The next prime is 20125462517. The reversal of 20125462500 is 526452102.

20125462500 is a `hidden beast` number, since 20 + 12 + 5 + 4 + 625 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 144787431 + ... + 144787569.

It is an arithmetic number, because the mean of its divisors is an integer number (108073812).

Almost surely, 220125462500 is an apocalyptic number.

20125462500 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 20125462500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38906572320).

20125462500 is an abundant number, since it is smaller than the sum of its proper divisors (57687682140).

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

20125462500 is a wasteful number, since it uses less digits than its factorization.

20125462500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 20125462500 in words is "twenty billion, one hundred twenty-five million, four hundred sixty-two thousand, five hundred".