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14475540096 = 273261205993
BaseRepresentation
bin11010111101100111…
…10011011010000000
31101100211021121221200
431132303303122000
5214121214240341
610352221021200
71021501026543
oct153663633200
941324247850
1014475540096
116159079586
12297b9b4800
131498cab854
149b470285a
1559ac68db6
hex35ecf3680

14475540096 has 96 divisors (see below), whose sum is σ = 42337946820. Its totient is φ = 4746055680.

The previous prime is 14475540077. The next prime is 14475540113. The reversal of 14475540096 is 69004557441.

14475540096 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 554 + 0 + 0 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14463429696 + 12110400 = 120264^2 + 3480^2 .

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

It is a super-2 number, since 2×144755400962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32725 + ... + 173268.

Almost surely, 214475540096 is an apocalyptic number.

14475540096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14475540096 is an abundant number, since it is smaller than the sum of its proper divisors (27862406724).

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

14475540096 is a wasteful number, since it uses less digits than its factorization.

14475540096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206074 (or 206059 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 14475540096 in words is "fourteen billion, four hundred seventy-five million, five hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1952 2196 2928 3904 4392 5856 7808 8784 11712 17568 23424 35136 70272 205993 411986 617979 823972 1235958 1647944 1853937 2471916 3295888 3707874 4943832 6591776 7415748 9887664 12565573 13183552 14831496 19775328 25131146 26367104 29662992 37696719 39550656 50262292 59325984 75393438 79101312 100524584 113090157 118651968 150786876 201049168 226180314 237303936 301573752 402098336 452360628 603147504 804196672 904721256 1206295008 1608393344 1809442512 2412590016 3618885024 4825180032 7237770048 14475540096