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132153453263034 = 23272285823524219
BaseRepresentation
bin11110000011000101011111…
…101000110011100010111010
3122022220202011101020120221100
4132003011133220303202322
5114310200233013404114
61145022242554552230
736556525524343200
oct3603053750634272
9568822141216840
10132153453263034
1139120a68151855
12129a4284138676
13589802b9501c8
14248c392cb3070
1510429343ce909
hex78315fa338ba

132153453263034 has 72 divisors (see below), whose sum is σ = 333082443133440. Its totient is φ = 37757925373392.

The previous prime is 132153453262979. The next prime is 132153453263093. The reversal of 132153453263034 is 430362354351231.

132153453263034 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 3 + 4 + 5 + 3 + 2 + 630 + 3 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 251833777 + ... + 252357995.

It is an arithmetic number, because the mean of its divisors is an integer number (4626145043520).

Almost surely, 2132153453263034 is an apocalyptic number.

132153453263034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132153453263034 is an abundant number, since it is smaller than the sum of its proper divisors (200928989870406).

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

132153453263034 is a wasteful number, since it uses less digits than its factorization.

132153453263034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810064 (or 810054 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 132153453263034 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred fifty-three million, two hundred sixty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 285823 524219 571646 857469 1048438 1572657 1714938 2000761 2572407 3145314 3669533 4001522 4717971 5144814 6002283 7339066 9435942 11008599 12004566 14005327 18006849 22017198 25686731 28010654 33025797 36013698 42015981 51373462 66051594 77060193 84031962 126047943 154120386 231180579 252095886 462361158 149833847237 299667694474 449501541711 899003083422 1048836930659 1348504625133 2097673861318 2697009250266 3146510791977 6293021583954 7341858514613 9439532375931 14683717029226 18879064751862 22025575543839 44051151087678 66076726631517 132153453263034