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21314145732 = 22311313751473
BaseRepresentation
bin10011110110011011…
…000000110111000100
32001000102022210021220
4103312123000313010
5322122410130412
613442552040340
71353120151365
oct236633006704
961012283256
1021314145732
119048309180
12416a0930b0
132018a26469
141062a49b6c
1584b30268c
hex4f66c0dc4

21314145732 has 48 divisors (see below), whose sum is σ = 54272538432. Its totient is φ = 6456647680.

The previous prime is 21314145649. The next prime is 21314145739. The reversal of 21314145732 is 23754141312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 21314145693 and 21314145702.

It is not an unprimeable number, because it can be changed into a prime (21314145739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388348 + ... + 439820.

It is an arithmetic number, because the mean of its divisors is an integer number (1130677884).

Almost surely, 221314145732 is an apocalyptic number.

21314145732 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21314145732 is an abundant number, since it is smaller than the sum of its proper divisors (32958392700).

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

21314145732 is a wasteful number, since it uses less digits than its factorization.

21314145732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54628 (or 54626 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The spelling of 21314145732 in words is "twenty-one billion, three hundred fourteen million, one hundred forty-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3137 6274 9411 12548 18822 34507 37644 51473 69014 102946 103521 138028 154419 205892 207042 308838 414084 566203 617676 1132406 1698609 2264812 3397218 6794436 161470801 322941602 484412403 645883204 968824806 1776178811 1937649612 3552357622 5328536433 7104715244 10657072866 21314145732