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20750249520 = 24345721113457
BaseRepresentation
bin10011010100110011…
…111010111000110000
31222120010020220010000
4103110303322320300
5314444030441040
613311005510000
71333132132200
oct232463727060
958503226100
1020750249520
118888a7a650
124031272300
131c58c5bb70
14100bbc0400
15816a67130
hex4d4cfae30

20750249520 has 1200 divisors, whose sum is σ = 98706994848. Its totient is φ = 3971358720.

The previous prime is 20750249483. The next prime is 20750249561. The reversal of 20750249520 is 2594205702.

It is a happy number.

20750249520 is a `hidden beast` number, since 20 + 75 + 0 + 2 + 49 + 520 = 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 239 ways as a sum of consecutive naturals, for example, 45405132 + ... + 45405588.

Almost surely, 220750249520 is an apocalyptic number.

20750249520 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 20750249520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49353497424).

20750249520 is an abundant number, since it is smaller than the sum of its proper divisors (77956745328).

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

20750249520 is a wasteful number, since it uses less digits than its factorization.

20750249520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 20750249520 in words is "twenty billion, seven hundred fifty million, two hundred forty-nine thousand, five hundred twenty".