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76086857349720 = 233257173535031361
BaseRepresentation
bin10001010011001101011010…
…000110101011101001011000
3100222101211110220120212002100
4101103031122012223221120
534433101340440142340
6425453453021003400
722012044153316110
oct2123153206535130
9328354426525070
1076086857349720
1122275289436a28
12864a1866b3560
13335bc62a79a99
1414b08a3016040
158be2d8e89830
hex45335a1aba58

76086857349720 has 384 divisors, whose sum is σ = 300080089895040. Its totient is φ = 16321892843520.

The previous prime is 76086857349691. The next prime is 76086857349739. The reversal of 76086857349720 is 2794375868067.

76086857349720 is a `hidden beast` number, since 7 + 6 + 0 + 8 + 6 + 8 + 573 + 49 + 7 + 2 + 0 = 666.

76086857349720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×760868573497202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12606840 + ... + 17638200.

It is an arithmetic number, because the mean of its divisors is an integer number (781458567435).

Almost surely, 276086857349720 is an apocalyptic number.

76086857349720 is a gapful number since it is divisible by the number (70) 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 76086857349720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150040044947520).

76086857349720 is an abundant number, since it is smaller than the sum of its proper divisors (223993232545320).

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

76086857349720 is a wasteful number, since it uses less digits than its factorization.

76086857349720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031755 (or 5031748 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 76086857349720 in words is "seventy-six trillion, eighty-six billion, eight hundred fifty-seven million, three hundred forty-nine thousand, seven hundred twenty".