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100404028088 = 237131014193259
BaseRepresentation
bin101110110000010001…
…0111110001010111000
3100121011022220002120222
41131200202332022320
53121111412344323
6114042554435212
710153051104650
oct1354042761270
9317138802528
10100404028088
1139643502411
1217561132b08
139611431610
144c06993360
1529299469c8
hex17608be2b8

100404028088 has 128 divisors (see below), whose sum is σ = 234626112000. Its totient is φ = 39221107200.

The previous prime is 100404028069. The next prime is 100404028093. The reversal of 100404028088 is 880820404001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30806603 + ... + 30809861.

It is an arithmetic number, because the mean of its divisors is an integer number (1833016500).

Almost surely, 2100404028088 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 100404028088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117313056000).

100404028088 is an abundant number, since it is smaller than the sum of its proper divisors (134222083912).

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

100404028088 is a wasteful number, since it uses less digits than its factorization.

100404028088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The spelling of 100404028088 in words is "one hundred billion, four hundred four million, twenty-eight thousand, eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 182 202 364 404 419 707 728 808 838 1313 1414 1676 2626 2828 2933 3259 3352 5252 5447 5656 5866 6518 9191 10504 10894 11732 13036 18382 21788 22813 23464 26072 36764 38129 42319 42367 43576 45626 73528 76258 84638 84734 91252 152516 169276 169468 182504 296233 296569 305032 329159 338552 338936 550147 592466 593138 658318 1100294 1184932 1186276 1316636 1365521 2200588 2304113 2369864 2372552 2633272 2731042 3851029 4279067 4401176 4608226 5462084 7702058 8558134 9216452 9558647 10924168 15404116 17116268 17751773 18432904 19117294 29953469 30808232 34232536 35503546 38234588 59906938 71007092 76469176 119813876 124262411 137917621 142014184 239627752 248524822 275835242 497049644 551670484 965423347 994099288 1103340968 1792929073 1930846694 3585858146 3861693388 7171716292 7723386776 12550503511 14343432584 25101007022 50202014044 100404028088