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21357251132 = 22727310114779
BaseRepresentation
bin10011111000111111…
…011100101000111100
32001010102102202210012
4103320333130220330
5322214424014012
613451132002352
71354152432200
oct237077345074
961112382705
1021357251132
11906a67a978
1241806003b8
132024939609
14106866ab00
1584eeb9622
hex4f8fdca3c

21357251132 has 72 divisors (see below), whose sum is σ = 44512216560. Its totient is φ = 8937734400.

The previous prime is 21357251117. The next prime is 21357251143. The reversal of 21357251132 is 23115275312.

It is a super-2 number, since 2×213572511322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1437719 + ... + 1452497.

It is an arithmetic number, because the mean of its divisors is an integer number (618225230).

Almost surely, 221357251132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21357251132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22256108280).

21357251132 is an abundant number, since it is smaller than the sum of its proper divisors (23154965428).

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

21357251132 is a wasteful number, since it uses less digits than its factorization.

21357251132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14971 (or 14962 counting only the distinct ones).

The product of its digits is 12600, while the sum is 32.

The spelling of 21357251132 in words is "twenty-one billion, three hundred fifty-seven million, two hundred fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 73 98 101 146 196 202 292 404 511 707 1022 1414 2044 2828 3577 4949 7154 7373 9898 14308 14746 14779 19796 29492 29558 51611 59116 103222 103453 206444 206906 361277 413812 722554 724171 1078867 1445108 1448342 1492679 2157734 2896684 2985358 4315468 5970716 7552069 10448753 15104138 20897506 30208276 41795012 52864483 73141271 105728966 108965567 146282542 211457932 217931134 292565084 435862268 762758969 1525517938 3051035876 5339312783 10678625566 21357251132