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76131835104 = 25313109755609
BaseRepresentation
bin100011011100111001…
…1111001110011100000
321021111202110221022110
41012321303321303200
52221404222210404
654550253235320
75333421630633
oct1067163716340
9237452427273
1076131835104
112a318488596
1212908492b40
137243922250
143983141c1a
151ea8adab89
hex11b9cf9ce0

76131835104 has 96 divisors (see below), whose sum is σ = 215418903840. Its totient is φ = 23403405312.

The previous prime is 76131835081. The next prime is 76131835141. The reversal of 76131835104 is 40153813167.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341252 + ... + 1396860.

It is an arithmetic number, because the mean of its divisors is an integer number (2243946915).

Almost surely, 276131835104 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 76131835104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107709451920).

76131835104 is an abundant number, since it is smaller than the sum of its proper divisors (139287068736).

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

76131835104 is a wasteful number, since it uses less digits than its factorization.

76131835104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56732 (or 56724 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 76131835104 in words is "seventy-six billion, one hundred thirty-one million, eight hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1097 1248 2194 3291 4388 6582 8776 13164 14261 17552 26328 28522 35104 42783 52656 55609 57044 85566 105312 111218 114088 166827 171132 222436 228176 333654 342264 444872 456352 667308 684528 722917 889744 1334616 1369056 1445834 1779488 2168751 2669232 2891668 4337502 5338464 5783336 8675004 11566672 17350008 23133344 34700016 61003073 69400032 122006146 183009219 244012292 366018438 488024584 732036876 793039949 976049168 1464073752 1586079898 1952098336 2379119847 2928147504 3172159796 4758239694 5856295008 6344319592 9516479388 12688639184 19032958776 25377278368 38065917552 76131835104