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5713987485024 = 253371361219531
BaseRepresentation
bin101001100100110010000…
…1100011011110101100000
3202020020210121112101102000
41103021210030123311200
51222104221244010044
620052545234124000
71126551636151320
oct123114414336540
922206717471360
105713987485024
111903319a76735
127834aaa20600
13325a9937a860
1415a7b6627280
159d979788d69
hex5326431bd60

5713987485024 has 576 divisors, whose sum is σ = 20854588285440. Its totient is φ = 1482205132800.

The previous prime is 5713987484921. The next prime is 5713987485043. The reversal of 5713987485024 is 4205847893175.

5713987485024 is a `hidden beast` number, since 5 + 7 + 1 + 3 + 9 + 87 + 48 + 502 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 292550139 + ... + 292569669.

It is an arithmetic number, because the mean of its divisors is an integer number (36205882440).

Almost surely, 25713987485024 is an apocalyptic number.

5713987485024 is a gapful number since it is divisible by the number (54) 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 5713987485024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10427294142720).

5713987485024 is an abundant number, since it is smaller than the sum of its proper divisors (15140600800416).

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

5713987485024 is a wasteful number, since it uses less digits than its factorization.

5713987485024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19692 (or 19617 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 5713987485024 in words is "five trillion, seven hundred thirteen billion, nine hundred eighty-seven million, four hundred eighty-five thousand, twenty-four".