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128116698413952 = 2732911504732257
BaseRepresentation
bin11101001000010101111110…
…010011000111101110000000
3121210121211120222211002200110
4131020111332103013232000
5113243030444243221302
61132251555420551320
735662061135306463
oct3510257623075600
9553554528732613
10128116698413952
1137904a94294056
1212451a5b0b2540
1356644781bbc81
14238cc4a3852da
15ec29217a8b6c
hex74857e4c7b80

128116698413952 has 64 divisors (see below), whose sum is σ = 352044807094800. Its totient is φ = 41232960405504.

The previous prime is 128116698413941. The next prime is 128116698413953. The reversal of 128116698413952 is 259314896611821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128116698413953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5752354993 + ... + 5752377264.

Almost surely, 2128116698413952 is an apocalyptic number.

128116698413952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128116698413952 is an abundant number, since it is smaller than the sum of its proper divisors (223928108680848).

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

128116698413952 is a wasteful number, since it uses less digits than its factorization.

128116698413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11504732303 (or 11504732291 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 66.

The spelling of 128116698413952 in words is "one hundred twenty-eight trillion, one hundred sixteen billion, six hundred ninety-eight million, four hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 11504732257 23009464514 34514196771 46018929028 69028393542 92037858056 138056787084 184075716112 276113574168 333637235453 368151432224 552227148336 667274470906 736302864448 1000911706359 1104454296672 1334548941812 1472605728896 2001823412718 2208908593344 2669097883624 4003646825436 4417817186688 5338195767248 8007293650872 10676391534496 16014587301744 21352783068992 32029174603488 42705566137984 64058349206976 128116698413952