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76342616064 = 2133211132557
BaseRepresentation
bin100011100011001011…
…1111110000000000000
321022001110002201102200
41013012113332000000
52222322202203224
655023223113200
75341561346451
oct1070627760000
9238043081380
1076342616064
112a416464430
1212966ba2800
1372784b2700
1439a312d128
151ebc3745c9
hex11c65fe000

76342616064 has 504 divisors, whose sum is σ = 260977651272. Its totient is φ = 21316239360.

The previous prime is 76342616027. The next prime is 76342616081. The reversal of 76342616064 is 46061624367.

It is a happy number.

76342616064 is a `hidden beast` number, since 7 + 6 + 3 + 426 + 160 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137060074 + ... + 137060630.

Almost surely, 276342616064 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 76342616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130488825636).

76342616064 is an abundant number, since it is smaller than the sum of its proper divisors (184635035208).

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

76342616064 is a wasteful number, since it uses less digits than its factorization.

76342616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 76342616064 in words is "seventy-six billion, three hundred forty-two million, six hundred sixteen thousand, sixty-four".