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23431066013432 = 23711231653801949
BaseRepresentation
bin1010101001111011110000…
…10111011100111011111000
310001221222200021111010222202
411110331320113130323320
511032343310344412212
6121500025542205332
74635560441650520
oct524757027347370
9101858607433882
1023431066013432
117514071a10880
122765120723848
13100c70362832c
145b00d9174680
152a97684bd0c2
hex154f785dcef8

23431066013432 has 64 divisors (see below), whose sum is σ = 57155395392000. Its totient is φ = 8732074285440.

The previous prime is 23431066013419. The next prime is 23431066013477.

23431066013432 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826886807 + ... + 826915142.

It is an arithmetic number, because the mean of its divisors is an integer number (893053053000).

Almost surely, 223431066013432 is an apocalyptic number.

23431066013432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23431066013432 is an abundant number, since it is smaller than the sum of its proper divisors (33724329378568).

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

23431066013432 is a wasteful number, since it uses less digits than its factorization.

23431066013432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653801996 (or 1653801992 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

It can be divided in two parts, 2343106 and 6013432, that added together give a palindrome (8356538).

The spelling of 23431066013432 in words is "twenty-three trillion, four hundred thirty-one billion, sixty-six million, thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 2024 3542 7084 14168 1653801949 3307603898 6615207796 11576613643 13230415592 18191821439 23153227286 36383642878 38037444827 46306454572 72767285756 76074889654 92612909144 127342750073 145534571512 152149779308 254685500146 266262113789 304299558616 418411893097 509371000292 532524227578 836823786194 1018742000584 1065048455156 1673647572388 2130096910312 2928883251679 3347295144776 5857766503358 11715533006716 23431066013432