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76841963520 = 2123572961101
BaseRepresentation
bin100011110010000100…
…0110101000000000000
321100100020201012100220
41013210020311000000
52224333020313040
655144541543040
75360133625110
oct1074410650000
9240306635326
1076841963520
112a652315583
1212a86274a80
137327a9978a
143a0d595040
151eeb10e2d0
hex11e4235000

76841963520 has 832 divisors, whose sum is σ = 298367331840. Its totient is φ = 16515072000.

The previous prime is 76841963503. The next prime is 76841963609. The reversal of 76841963520 is 2536914867.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 760811470 + ... + 760811570.

It is a 2-persistent number, because it is pandigital, and so is 2⋅76841963520 = 153683927040, but 3⋅76841963520 = 230525890560 is not.

Almost surely, 276841963520 is an apocalyptic number.

76841963520 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 76841963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149183665920).

76841963520 is an abundant number, since it is smaller than the sum of its proper divisors (221525368320).

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

76841963520 is a wasteful number, since it uses less digits than its factorization.

76841963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 76841963520 in words is "seventy-six billion, eight hundred forty-one million, nine hundred sixty-three thousand, five hundred twenty".