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128831402328 = 233173153192187
BaseRepresentation
bin111011111111011110…
…0110011000101011000
3110022112111000022222120
41313332330303011120
54102321314333303
6135103452021240
712210363565026
oct1677674630530
9408474008876
10128831402328
114a700a71432
1220b75461820
13c1c1a56715
1463421d1716
15354047c553
hex1dfef33158

128831402328 has 128 divisors (see below), whose sum is σ = 358668933120. Its totient is φ = 38375700480.

The previous prime is 128831402327. The next prime is 128831402377. The reversal of 128831402328 is 823204138821.

It is a self number, because there is not a number n which added to its sum of digits gives 128831402328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128831402327) 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 31 ways as a sum of consecutive naturals, for example, 574251 + ... + 766437.

It is an arithmetic number, because the mean of its divisors is an integer number (2802101040).

Almost surely, 2128831402328 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 128831402328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179334466560).

128831402328 is an abundant number, since it is smaller than the sum of its proper divisors (229837530792).

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

128831402328 is a wasteful number, since it uses less digits than its factorization.

128831402328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192297 (or 192293 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 128831402328 in words is "one hundred twenty-eight billion, eight hundred thirty-one million, four hundred two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 53 62 68 93 102 106 124 136 159 186 204 212 248 318 372 408 424 527 636 744 901 1054 1272 1581 1643 1802 2108 2703 3162 3286 3604 4216 4929 5406 6324 6572 7208 9858 10812 12648 13144 19716 21624 27931 39432 55862 83793 111724 167586 192187 223448 335172 384374 576561 670344 768748 1153122 1537496 2306244 3267179 4612488 5957797 6534358 9801537 10185911 11915594 13068716 17873391 19603074 20371822 23831188 26137432 30557733 35746782 39206148 40743644 47662376 61115466 71493564 78412296 81487288 101282549 122230932 142987128 173160487 202565098 244461864 303847647 315763241 346320974 405130196 519481461 607695294 631526482 692641948 810260392 947289723 1038962922 1215390588 1263052964 1385283896 1894579446 2077925844 2430781176 2526105928 3789158892 4155851688 5367975097 7578317784 10735950194 16103925291 21471900388 32207850582 42943800776 64415701164 128831402328