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76372918920 = 233254115134267
BaseRepresentation
bin100011100100000101…
…1100100001010001000
321022010120010021010200
41013020023210022020
52222402431401140
655030224412200
75342410046124
oct1071013441210
9238116107120
1076372918920
112a431581411
1212975177060
1372818624ac
1439a717a584
151ebed5d030
hex11c82e4288

76372918920 has 192 divisors, whose sum is σ = 255957287040. Its totient is φ = 19737216000.

The previous prime is 76372918903. The next prime is 76372918933. The reversal of 76372918920 is 2981927367.

76372918920 is a `hidden beast` number, since 76 + 372 + 9 + 189 + 20 = 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 47 ways as a sum of consecutive naturals, for example, 2211627 + ... + 2245893.

It is an arithmetic number, because the mean of its divisors is an integer number (1333110870).

Almost surely, 276372918920 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 76372918920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127978643520).

76372918920 is an abundant number, since it is smaller than the sum of its proper divisors (179584368120).

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

76372918920 is a wasteful number, since it uses less digits than its factorization.

76372918920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34476 (or 34469 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 76372918920 in words is "seventy-six billion, three hundred seventy-two million, nine hundred eighteen thousand, nine hundred twenty".