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128078128992 = 25311235273309
BaseRepresentation
bin111011101001000001…
…1010010011101100000
3110020120222121002020010
41313102003102131200
54044301000111432
6134501022444520
712152616063612
oct1672203223540
9406528532203
10128078128992
114a354845a90
12209a5133740
13c101984058
1462b014adb2
1534e92853cc
hex1dd20d2760

128078128992 has 96 divisors (see below), whose sum is σ = 382715746560. Its totient is φ = 37124088320.

The previous prime is 128078128991. The next prime is 128078129027. The reversal of 128078128992 is 299821870821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128078128991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2612367 + ... + 2660942.

It is an arithmetic number, because the mean of its divisors is an integer number (3986622360).

Almost surely, 2128078128992 is an apocalyptic number.

128078128992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128078128992 is an abundant number, since it is smaller than the sum of its proper divisors (254637617568).

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

128078128992 is a wasteful number, since it uses less digits than its factorization.

128078128992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273356 (or 5273348 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 57.

The spelling of 128078128992 in words is "one hundred twenty-eight billion, seventy-eight million, one hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 24288 5273309 10546618 15819927 21093236 31639854 42186472 58006399 63279708 84372944 116012798 121286107 126559416 168745888 174019197 232025596 242572214 253118832 348038394 363858321 464051192 485144428 506237664 696076788 727716642 928102384 970288856 1334147177 1392153576 1455433284 1856204768 1940577712 2668294354 2784307152 2910866568 3881155424 4002441531 5336588708 5568614304 5821733136 8004883062 10673177416 11643466272 16009766124 21346354832 32019532248 42692709664 64039064496 128078128992