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120268835808 = 25311113890943
BaseRepresentation
bin111000000000010010…
…1001100101111100000
3102111102202000212220020
41300000211030233200
53432302310221213
6131130054313440
711455242144162
oct1600045145740
9374382025806
10120268835808
1147007693480
121b385958880
13b458ac3304
145b6cd26932
1531dd8aa923
hex1c0094cbe0

120268835808 has 48 divisors (see below), whose sum is σ = 344406214656. Its totient is φ = 36445101440.

The previous prime is 120268835779. The next prime is 120268835809. The reversal of 120268835808 is 808538862021.

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

It is a super-2 number, since 2×1202688358082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120268835809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56944416 + ... + 56946527.

It is an arithmetic number, because the mean of its divisors is an integer number (7175129472).

Almost surely, 2120268835808 is an apocalyptic number.

It is an amenable number.

120268835808 is an abundant number, since it is smaller than the sum of its proper divisors (224137378848).

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

120268835808 is a wasteful number, since it uses less digits than its factorization.

120268835808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113890967 (or 113890959 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 120268835808 in words is "one hundred twenty billion, two hundred sixty-eight million, eight hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 113890943 227781886 341672829 455563772 683345658 911127544 1252800373 1366691316 1822255088 2505600746 2733382632 3644510176 3758401119 5011201492 5466765264 7516802238 10022402984 10933530528 15033604476 20044805968 30067208952 40089611936 60134417904 120268835808