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10643114631432 = 23329127120408121
BaseRepresentation
bin1001101011100000101100…
…0100010010000100001000
31101200110201221212111220210
42122320023010102010020
52343334044321201212
634345213535321120
72145640205460243
oct232701304220410
941613657774823
1010643114631432
1134337a0820318
12123a8596801a0
135c2845216c5a
1428b1b54a625a
15136cb9e3153c
hex9ae0b112108

10643114631432 has 64 divisors (see below), whose sum is σ = 27742031308800. Its totient is φ = 3398398778880.

The previous prime is 10643114631431. The next prime is 10643114631433. The reversal of 10643114631432 is 23413641134601.

It is an interprime number because it is at equal distance from previous prime (10643114631431) and next prime (10643114631433).

It is a super-5 number, since 5×106431146314325 (a number of 66 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10643114631431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60115669 + ... + 60292452.

It is an arithmetic number, because the mean of its divisors is an integer number (433469239200).

Almost surely, 210643114631432 is an apocalyptic number.

10643114631432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10643114631432 is an abundant number, since it is smaller than the sum of its proper divisors (17098916677368).

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

10643114631432 is a wasteful number, since it uses less digits than its factorization.

10643114631432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120408286 (or 120408282 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 10643114631432 in words is "ten trillion, six hundred forty-three billion, one hundred fourteen million, six hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 127 174 232 254 348 381 508 696 762 1016 1524 3048 3683 7366 11049 14732 22098 29464 44196 88392 120408121 240816242 361224363 481632484 722448726 963264968 1444897452 2889794904 3491835509 6983671018 10475506527 13967342036 15291831367 20951013054 27934684072 30583662734 41902026108 45875494101 61167325468 83804052216 91750988202 122334650936 183501976404 367003952808 443463109643 886926219286 1330389328929 1773852438572 2660778657858 3547704877144 5321557315716 10643114631432