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76157785088 = 2107211137983
BaseRepresentation
bin100011011101101011…
…0111001010000000000
321021120120022022222222
41012323112321100000
52221432343110323
654553021350212
75334155330600
oct1067326712000
9237516268888
1076157785088
112a3310a2160
1212915108368
137249109978
143986778c00
151eab0149c8
hex11bb5b9400

76157785088 has 132 divisors (see below), whose sum is σ = 193198021632. Its totient is φ = 29671649280.

The previous prime is 76157785061. The next prime is 76157785147. The reversal of 76157785088 is 88058775167.

It is a Cunningham number, because it is equal to 2759672-1.

It is a self number, because there is not a number n which added to its sum of digits gives 76157785088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482945 + ... + 620927.

It is an arithmetic number, because the mean of its divisors is an integer number (1463621376).

Almost surely, 276157785088 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 76157785088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96599010816).

76157785088 is an abundant number, since it is smaller than the sum of its proper divisors (117040236544).

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

76157785088 is a wasteful number, since it uses less digits than its factorization.

76157785088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138028 (or 138003 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 62.

The spelling of 76157785088 in words is "seventy-six billion, one hundred fifty-seven million, seven hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 512 539 616 704 784 896 1024 1078 1232 1408 1568 1792 2156 2464 2816 3136 3584 4312 4928 5632 6272 7168 8624 9856 11264 12544 17248 19712 25088 34496 39424 50176 68992 78848 137983 137984 275966 275968 551932 551936 965881 1103864 1517813 1931762 2207728 3035626 3863524 4415456 6071252 6761167 7727048 8830912 10624691 12142504 13522334 15454096 17661824 21249382 24285008 27044668 30908192 35323648 42498764 48570016 54089336 61816384 70647296 74372837 84997528 97140032 108178672 123632768 141294592 148745674 169995056 194280064 216357344 247265536 297491348 339990112 388560128 432714688 494531072 594982696 679980224 777120256 865429376 989062144 1189965392 1359960448 1554240512 1730858752 2379930784 2719920896 3461717504 4759861568 5439841792 6923435008 9519723136 10879683584 19039446272 38078892544 76157785088