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76400062464 = 2123113118233
BaseRepresentation
bin100011100100111001…
…1000111000000000000
321022012110012022002010
41013021303013000000
52222431403444324
655033034252520
75343156546615
oct1071163070000
9238173168063
1076400062464
112a4459307a0
1212982287140
13728737726b
1439aaa0450c
151ec2420829
hex11c9cc7000

76400062464 has 208 divisors, whose sum is σ = 229408809984. Its totient is φ = 22403481600.

The previous prime is 76400062463. The next prime is 76400062507. The reversal of 76400062464 is 46426000467.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76400062463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4181092 + ... + 4199324.

Almost surely, 276400062464 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 76400062464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114704404992).

76400062464 is an abundant number, since it is smaller than the sum of its proper divisors (153008747520).

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

76400062464 is a wasteful number, since it uses less digits than its factorization.

76400062464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18302 (or 18280 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 76400062464 in words is "seventy-six billion, four hundred million, sixty-two thousand, four hundred sixty-four".