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74402135644104 = 233217334099145471
BaseRepresentation
bin10000111010101100011000…
…110111011001011111001000
3100202102202220202110210200100
4100322230120313121133020
534223001033211102404
6422123511432005400
721446243165150622
oct2072543067313710
9322382822423610
1074402135644104
112178584aa03114
128417770830860
13326912572b5b8
141453122851c12
15890584b02d39
hex43ab18dd97c8

74402135644104 has 96 divisors (see below), whose sum is σ = 201672634176000. Its totient is φ = 24780183742080.

The previous prime is 74402135644051. The next prime is 74402135644117. The reversal of 74402135644104 is 40144653120447.

74402135644104 is a `hidden beast` number, since 7 + 4 + 40 + 2 + 1 + 3 + 564 + 41 + 0 + 4 = 666.

74402135644104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 74402135644104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511384089 + ... + 511529559.

It is an arithmetic number, because the mean of its divisors is an integer number (2100756606000).

Almost surely, 274402135644104 is an apocalyptic number.

It is an amenable number.

74402135644104 is an abundant number, since it is smaller than the sum of its proper divisors (127270498531896).

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

74402135644104 is a wasteful number, since it uses less digits than its factorization.

74402135644104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151315 (or 151308 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 74402135644104 in words is "seventy-four trillion, four hundred two billion, one hundred thirty-five million, six hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1733 3466 4099 5199 6932 8198 10398 12297 13864 15597 16396 20796 24594 31194 32792 36891 41592 49188 62388 73782 98376 124776 145471 147564 290942 295128 436413 581884 872826 1163768 1309239 1745652 2618478 3491304 5236956 7103567 10473912 14207134 21310701 28414268 42621402 56828536 63932103 85242804 127864206 170485608 252101243 255728412 504202486 511456824 596285629 756303729 1008404972 1192571258 1512607458 1788856887 2016809944 2268911187 2385142516 3025214916 3577713774 4537822374 4770285032 5366570661 6050429832 7155427548 9075644748 10733141322 14310855096 18151289496 21466282644 42932565288 1033362995057 2066725990114 3100088985171 4133451980228 6200177970342 8266903960456 9300266955513 12400355940684 18600533911026 24800711881368 37201067822052 74402135644104