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76712675328 = 2113217923251
BaseRepresentation
bin100011101110001101…
…1101000100000000000
321100000020102200022100
41013130123220200000
52224101421102303
655124042510400
75354003660442
oct1073433504000
9240006380270
1076712675328
112a59633a433
1212a4ab05400
13730706cca3
1439da33c492
151edeac18a3
hex11dc6e8800

76712675328 has 144 divisors (see below), whose sum is σ = 222807639600. Its totient is φ = 25426944000.

The previous prime is 76712675311. The next prime is 76712675359. The reversal of 76712675328 is 82357621767.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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, 3287703 + ... + 3310953.

It is an arithmetic number, because the mean of its divisors is an integer number (1547275275).

Almost surely, 276712675328 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 76712675328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111403819800).

76712675328 is an abundant number, since it is smaller than the sum of its proper divisors (146094964272).

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

76712675328 is a wasteful number, since it uses less digits than its factorization.

76712675328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23458 (or 23435 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 76712675328 in words is "seventy-six billion, seven hundred twelve million, six hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 256 288 358 384 512 537 576 716 768 1024 1074 1152 1432 1536 1611 2048 2148 2304 2864 3072 3222 4296 4608 5728 6144 6444 8592 9216 11456 12888 17184 18432 22912 23251 25776 34368 45824 46502 51552 68736 69753 91648 93004 103104 137472 139506 183296 186008 206208 209259 274944 279012 366592 372016 412416 418518 549888 558024 744032 824832 837036 1099776 1116048 1488064 1649664 1674072 2232096 2976128 3299328 3348144 4161929 4464192 5952256 6696288 8323858 8928384 11904512 12485787 13392576 16647716 17856768 23809024 24971574 26785152 33295432 35713536 37457361 47618048 49943148 53570304 66590864 71427072 74914722 99886296 107140608 133181728 142854144 149829444 199772592 214281216 266363456 299658888 399545184 428562432 532726912 599317776 799090368 1065453824 1198635552 1598180736 2130907648 2397271104 3196361472 4261815296 4794542208 6392722944 8523630592 9589084416 12785445888 19178168832 25570891776 38356337664 76712675328