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76882716072 = 23328312865247
BaseRepresentation
bin100011110011010010…
…0010010010110101000
321100110002101122100200
41013212210102112220
52224423433403242
655152555232200
75361140206161
oct1074644222650
9240402348320
1076882716072
112a67331a578
1212a97a48660
137333367a06
143a14b62768
151eee9ae04c
hex11e69125a8

76882716072 has 48 divisors (see below), whose sum is σ = 210732762240. Its totient is φ = 25318804128.

The previous prime is 76882716049. The next prime is 76882716073. The reversal of 76882716072 is 27061728867.

It is a happy number.

76882716072 is a `hidden beast` number, since 7 + 6 + 8 + 8 + 27 + 1 + 607 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (76882716073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6426648 + ... + 6438599.

It is an arithmetic number, because the mean of its divisors is an integer number (4390265880).

Almost surely, 276882716072 is an apocalyptic number.

76882716072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76882716072 is an abundant number, since it is smaller than the sum of its proper divisors (133850046168).

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

76882716072 is a wasteful number, since it uses less digits than its factorization.

76882716072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12865342 (or 12865335 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 76882716072 in words is "seventy-six billion, eight hundred eighty-two million, seven hundred sixteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 12865247 25730494 38595741 51460988 77191482 102921976 115787223 154382964 231574446 308765928 463148892 926297784 1067815501 2135631002 3203446503 4271262004 6406893006 8542524008 9610339509 12813786012 19220679018 25627572024 38441358036 76882716072