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128487074976 = 25321337927517
BaseRepresentation
bin111011110101001101…
…1010010110010100000
3110021122111002200122200
41313222123102302200
54101120142344401
6135005351533200
712166013055141
oct1675233226240
9407574080580
10128487074976
114a544671177
1220a9a08a200
13c168608520
14630c59dac8
153520114686
hex1dea6d2ca0

128487074976 has 144 divisors (see below), whose sum is σ = 404127012744. Its totient is φ = 38465943552.

The previous prime is 128487074929. The next prime is 128487074983. The reversal of 128487074976 is 679470784821.

128487074976 is a `hidden beast` number, since 12 + 8 + 487 + 0 + 74 + 9 + 76 = 666.

128487074976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 123816719376 + 4670355600 = 351876^2 + 68340^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325231 + ... + 602286.

Almost surely, 2128487074976 is an apocalyptic number.

128487074976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

128487074976 is an abundant number, since it is smaller than the sum of its proper divisors (275639937768).

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

128487074976 is a wasteful number, since it uses less digits than its factorization.

128487074976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927583 (or 927572 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 128487074976 in words is "one hundred twenty-eight billion, four hundred eighty-seven million, seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 72 74 78 96 104 111 117 144 148 156 208 222 234 288 296 312 333 416 444 468 481 592 624 666 888 936 962 1184 1248 1332 1443 1776 1872 1924 2664 2886 3552 3744 3848 4329 5328 5772 7696 8658 10656 11544 15392 17316 23088 34632 46176 69264 138528 927517 1855034 2782551 3710068 5565102 7420136 8347653 11130204 12057721 14840272 16695306 22260408 24115442 29680544 33390612 34318129 36173163 44520816 48230884 66781224 68636258 72346326 89041632 96461768 102954387 108519489 133562448 137272516 144692652 192923536 205908774 217038978 267124896 274545032 289385304 308863161 385847072 411817548 434077956 446135677 549090064 578770608 617726322 823635096 868155912 892271354 1098180128 1157541216 1235452644 1338407031 1647270192 1736311824 1784542708 2470905288 2676814062 3294540384 3472623648 3569085416 4015221093 4941810576 5353628124 7138170832 8030442186 9883621152 10707256248 14276341664 16060884372 21414512496 32121768744 42829024992 64243537488 128487074976