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106532956296 = 233313172231711
BaseRepresentation
bin110001100110111011…
…0111110100010001000
3101011222110112220112000
41203031312332202020
53221134414100141
6120535054551000
710460662121214
oct1431566764210
9334873486460
10106532956296
11411a9092938
1218791808460
13a07a12c060
145228963944
152b87a4a5b6
hex18cddbe888

106532956296 has 128 divisors (see below), whose sum is σ = 337434854400. Its totient is φ = 30851159040.

The previous prime is 106532956291. The next prime is 106532956337. The reversal of 106532956296 is 692659235601.

It is a happy number.

106532956296 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 3 + 2 + 9 + 5 + 629 + 6 = 666.

It is a super-2 number, since 2×1065329562962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106532956291) by changing a digit.

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, 1068120 + ... + 1163591.

It is an arithmetic number, because the mean of its divisors is an integer number (2636209800).

Almost surely, 2106532956296 is an apocalyptic number.

It is an amenable number.

106532956296 is an abundant number, since it is smaller than the sum of its proper divisors (230901898104).

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

106532956296 is a wasteful number, since it uses less digits than its factorization.

106532956296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231756 (or 2231746 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 106532956296 in words is "one hundred six billion, five hundred thirty-two million, nine hundred fifty-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1768 1836 1989 2652 2808 3672 3978 5304 5967 7956 11934 15912 23868 47736 2231711 4463422 6695133 8926844 13390266 17853688 20085399 26780532 29012243 37939087 40170798 53561064 58024486 60256197 75878174 80341596 87036729 113817261 116048972 120512394 151756348 160683192 174073458 227634522 232097944 241024788 261110187 303512696 341451783 348146916 455269044 482049576 493208131 522220374 682903566 696293832 783330561 910538088 986416262 1024355349 1044440748 1365807132 1479624393 1566661122 1972832524 2048710698 2088881496 2731614264 2959248786 3133322244 3945665048 4097421396 4438873179 5918497572 6266644488 8194842792 8877746358 11836995144 13316619537 17755492716 26633239074 35510985432 53266478148 106532956296