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1629401288928 = 25379013269023
BaseRepresentation
bin10111101101011111111…
…000101001000011100000
312202202202202222201011020
4113231133320221003200
5203144003212221203
63244311524245440
7225502040302410
oct27553770510340
95682682881136
101629401288928
11579030604a86
12223957240880
13ba86225411a
1458c13406640
152c5b7897153
hex17b5fe290e0

1629401288928 has 96 divisors (see below), whose sum is σ = 4888764389376. Its totient is φ = 465489842688.

The previous prime is 1629401288833. The next prime is 1629401288951. The reversal of 1629401288928 is 8298821049261.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5922225 + ... + 6191247.

It is an arithmetic number, because the mean of its divisors is an integer number (50924629056).

Almost surely, 21629401288928 is an apocalyptic number.

It is an amenable number.

1629401288928 is an abundant number, since it is smaller than the sum of its proper divisors (3259363100448).

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

1629401288928 is a wasteful number, since it uses less digits than its factorization.

1629401288928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278056 (or 278048 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 60.

The spelling of 1629401288928 in words is "one trillion, six hundred twenty-nine billion, four hundred one million, two hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 9013 18026 27039 36052 54078 63091 72104 108156 126182 144208 189273 216312 252364 269023 288416 378546 432624 504728 538046 757092 807069 865248 1009456 1076092 1514184 1614138 1883161 2018912 2152184 3028368 3228276 3766322 4304368 5649483 6056736 6456552 7532644 8608736 11298966 12913104 15065288 22597932 25826208 30130576 45195864 60261152 90391728 180783456 2424704299 4849408598 7274112897 9698817196 14548225794 16972930093 19397634392 29096451588 33945860186 38795268784 50918790279 58192903176 67891720372 77590537568 101837580558 116385806352 135783440744 203675161116 232771612704 271566881488 407350322232 543133762976 814700644464 1629401288928