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132275587912 = 2313171911334847
BaseRepresentation
bin111101100110000111…
…1010100101101001000
3110122102111212002101121
41323030033110231020
54131400022303122
6140433324525024
712361624642306
oct1731417245510
9418374762347
10132275587912
1151109136aa6
12217769b0774
13c620480260
14658b7c1276
153692a11bc7
hex1ecc3d4b48

132275587912 has 128 divisors (see below), whose sum is σ = 300334003200. Its totient is φ = 53951643648.

The previous prime is 132275587897. The next prime is 132275587933. The reversal of 132275587912 is 219785572231.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 132275587912.

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 31 ways as a sum of consecutive naturals, for example, 3778473 + ... + 3813319.

It is an arithmetic number, because the mean of its divisors is an integer number (2346359400).

Almost surely, 2132275587912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132275587912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150167001600).

132275587912 is an abundant number, since it is smaller than the sum of its proper divisors (168058415288).

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

132275587912 is a wasteful number, since it uses less digits than its factorization.

132275587912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35015 (or 35011 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 52.

The spelling of 132275587912 in words is "one hundred thirty-two billion, two hundred seventy-five million, five hundred eighty-seven thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 113 136 152 221 226 247 323 442 452 494 646 884 904 988 1292 1469 1768 1921 1976 2147 2584 2938 3842 4199 4294 5876 7684 8398 8588 11752 15368 16796 17176 24973 27911 33592 34847 36499 49946 55822 69694 72998 99892 111644 139388 145996 199784 223288 278776 291992 453011 474487 592399 662093 906022 948974 1184798 1324186 1812044 1897948 2369596 2648372 3624088 3795896 3937711 4739192 5296744 7701187 7875422 8607209 11255581 15402374 15750844 17214418 22511162 30804748 31501688 34428836 45022324 51190243 61609496 66941087 68857672 74816509 90044648 102380486 133882174 146322553 149633018 204760972 267764348 292645106 299266036 409521944 535528696 585290212 598532072 870234131 972614617 1170580424 1271880653 1740468262 1945229234 2543761306 3480936524 3890458468 5087522612 6961873048 7780916936 10175045224 16534448489 33068896978 66137793956 132275587912