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76812143616 = 2103313474547
BaseRepresentation
bin100011110001001011…
…1000100110000000000
321100021011121012011000
41013202113010300000
52224302402043431
655141554452000
75356322306445
oct1074227046000
9240234535130
1076812143616
112a6374a842a
1212a78294000
137321858770
143a096319cc
151ee86bd9e6
hex11e25c4c00

76812143616 has 352 divisors, whose sum is σ = 250246241280. Its totient is φ = 23126556672.

The previous prime is 76812143599. The next prime is 76812143623. The reversal of 76812143616 is 61634121867.

76812143616 is a `hidden beast` number, since 7 + 6 + 8 + 1 + 21 + 4 + 3 + 616 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16890655 + ... + 16895201.

Almost surely, 276812143616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76812143616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125123120640).

76812143616 is an abundant number, since it is smaller than the sum of its proper divisors (173434097664).

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

76812143616 is a wasteful number, since it uses less digits than its factorization.

76812143616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 4612 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 76812143616 in words is "seventy-six billion, eight hundred twelve million, one hundred forty-three thousand, six hundred sixteen".