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5102358655824 = 2433233119186729
BaseRepresentation
bin100101000111111110001…
…0001100111001101010000
3200001210002010222121012000
41022033330101213031100
51132044112303441244
614503554033434000
71034430126660213
oct112177421471520
920053063877160
105102358655824
1116979974966a1
126a4a5570b900
132b01c5445031
14138d53b8377a
158cacda67169
hex4a3fc467350

5102358655824 has 320 divisors, whose sum is σ = 15858185011200. Its totient is φ = 1566099532800.

The previous prime is 5102358655739. The next prime is 5102358655879. The reversal of 5102358655824 is 4285568532015.

5102358655824 is a `hidden beast` number, since 5 + 1 + 0 + 2 + 3 + 5 + 86 + 558 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58787692 + ... + 58874420.

It is an arithmetic number, because the mean of its divisors is an integer number (49556828160).

Almost surely, 25102358655824 is an apocalyptic number.

5102358655824 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 5102358655824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7929092505600).

5102358655824 is an abundant number, since it is smaller than the sum of its proper divisors (10755826355376).

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

5102358655824 is a wasteful number, since it uses less digits than its factorization.

5102358655824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86991 (or 86979 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 5102358655824 in words is "five trillion, one hundred two billion, three hundred fifty-eight million, six hundred fifty-five thousand, eight hundred twenty-four".