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11474094739584 = 273192954229501
BaseRepresentation
bin1010011011111000010101…
…0101110101000010000000
31111121220122101112210220110
42212332011111311002000
53000442421223131314
640223043143111320
72262655523033301
oct246760525650200
944556571483813
1011474094739584
113724155395884
12135390b142540
1365300561c769
142b94c60c67a8
1514d702deea59
hexa6f85575080

11474094739584 has 128 divisors (see below), whose sum is σ = 33188455224000. Its totient is φ = 3498453504000.

The previous prime is 11474094739561. The next prime is 11474094739663. The reversal of 11474094739584 is 48593749047411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26903167 + ... + 27326334.

Almost surely, 211474094739584 is an apocalyptic number.

It is an amenable number.

11474094739584 is an abundant number, since it is smaller than the sum of its proper divisors (21714360484416).

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

11474094739584 is a wasteful number, since it uses less digits than its factorization.

11474094739584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54229566 (or 54229554 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 11474094739584 in words is "eleven trillion, four hundred seventy-four billion, ninety-four million, seven hundred thirty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 128 152 174 192 228 232 304 348 384 456 464 551 608 696 912 928 1102 1216 1392 1653 1824 1856 2204 2432 2784 3306 3648 3712 4408 5568 6612 7296 8816 11136 13224 17632 26448 35264 52896 70528 105792 211584 54229501 108459002 162688503 216918004 325377006 433836008 650754012 867672016 1030360519 1301508024 1572655529 1735344032 2060721038 2603016048 3091081557 3145311058 3470688064 4121442076 4717966587 5206032096 6182163114 6290622116 6941376128 8242884152 9435933174 10412064192 12364326228 12581244232 16485768304 18871866348 20824128384 24728652456 25162488464 29880455051 32971536608 37743732696 49457304912 50324976928 59760910102 65943073216 75487465392 89641365153 98914609824 100649953856 119521820204 131886146432 150974930784 179282730306 197829219648 201299907712 239043640408 301949861568 358565460612 395658439296 478087280816 603899723136 717130921224 956174561632 1434261842448 1912349123264 2868523684896 3824698246528 5737047369792 11474094739584