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11631350415432 = 23311297691975613
BaseRepresentation
bin1010100101000010001010…
…0000101000000001001000
31112011221112210211211220010
42221100202200220001020
53011032001201243212
640423211342031520
72310223464155406
oct251204240500110
945157483754803
1011631350415432
113784912098650
12137a2978785a0
13664aa7153b27
142c2d6334a476
1515285899e03c
hexa9422828048

11631350415432 has 128 divisors (see below), whose sum is σ = 32858412048000. Its totient is φ = 3398684835840.

The previous prime is 11631350415383. The next prime is 11631350415493. The reversal of 11631350415432 is 23451405313611.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4899658 + ... + 6875270.

It is an arithmetic number, because the mean of its divisors is an integer number (256706344125).

Almost surely, 211631350415432 is an apocalyptic number.

11631350415432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11631350415432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429206024000).

11631350415432 is an abundant number, since it is smaller than the sum of its proper divisors (21227061632568).

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

11631350415432 is a wasteful number, since it uses less digits than its factorization.

11631350415432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976431 (or 1976427 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 11631350415432 in words is "eleven trillion, six hundred thirty-one billion, three hundred fifty million, four hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 769 957 1276 1538 1914 2307 2552 3076 3828 4614 6152 7656 8459 9228 16918 18456 22301 25377 33836 44602 50754 66903 67672 89204 101508 133806 178408 203016 245311 267612 490622 535224 735933 981244 1471866 1962488 1975613 2943732 3951226 5887464 5926839 7902452 11853678 15804904 21731743 23707356 43463486 47414712 57292777 65195229 86926972 114585554 130390458 171878331 173853944 229171108 260780916 343756662 458342216 521561832 630220547 687513324 1260441094 1375026648 1519246397 1890661641 2520882188 3038492794 3781323282 4557739191 5041764376 6076985588 7562646564 9115478382 12153971176 15125293128 16711710367 18230956764 33423420734 36461913528 44058145513 50135131101 66846841468 88116291026 100270262202 132174436539 133693682936 176232582052 200540524404 264348873078 352465164104 401081048808 484639600643 528697746156 969279201286 1057395492312 1453918801929 1938558402572 2907837603858 3877116805144 5815675207716 11631350415432