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76140153216 = 273266093883
BaseRepresentation
bin100011011101001001…
…1101000100110000000
321021112100010112121200
41012322103220212000
52221413334400331
654551151421200
75333552423661
oct1067223504600
9237470115550
1076140153216
112a32214a066
121290b224800
1372455753ca
1439842a9368
151ea96d05e6
hex11ba4e8980

76140153216 has 48 divisors (see below), whose sum is σ = 219101225460. Its totient is φ = 25380050688.

The previous prime is 76140153209. The next prime is 76140153227. The reversal of 76140153216 is 61235104167.

76140153216 is a `hidden beast` number, since 7 + 614 + 0 + 1 + 5 + 32 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33045790 + ... + 33048093.

Almost surely, 276140153216 is an apocalyptic number.

It is an amenable number.

76140153216 is an abundant number, since it is smaller than the sum of its proper divisors (142961072244).

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

76140153216 is a wasteful number, since it uses less digits than its factorization.

76140153216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66093903 (or 66093888 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 76140153216 in words is "seventy-six billion, one hundred forty million, one hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 66093883 132187766 198281649 264375532 396563298 528751064 594844947 793126596 1057502128 1189689894 1586253192 2115004256 2379379788 3172506384 4230008512 4758759576 6345012768 8460017024 9517519152 12690025536 19035038304 25380051072 38070076608 76140153216