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21725165424344 = 2319891699945227
BaseRepresentation
bin1001111000010010010001…
…10001001000111011011000
32211220220110010120100020012
410330021020301020323120
510321421114322034334
6114112223032221052
74401406565126354
oct474111061107330
984826403510205
1021725165424344
116a16655565388
12252a595b3a788
13c1789c5c2435
14551709cd4464
1527a1c4b519ce
hex13c248c48ed8

21725165424344 has 64 divisors (see below), whose sum is σ = 43385965200000. Its totient is φ = 10169240387328.

The previous prime is 21725165424317. The next prime is 21725165424397. The reversal of 21725165424344 is 44342456152712.

It is a super-2 number, since 2×217251654243442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21725165424292 and 21725165424301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22511459 + ... + 23456685.

It is an arithmetic number, because the mean of its divisors is an integer number (677905706250).

Almost surely, 221725165424344 is an apocalyptic number.

It is an amenable number.

21725165424344 is a deficient number, since it is larger than the sum of its proper divisors (21660799775656).

21725165424344 is a wasteful number, since it uses less digits than its factorization.

21725165424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947040 (or 947036 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 50.

The spelling of 21725165424344 in words is "twenty-one trillion, seven hundred twenty-five billion, one hundred sixty-five million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 19 38 76 89 152 178 356 712 1691 1699 3382 3398 6764 6796 13528 13592 32281 64562 129124 151211 258248 302422 604844 945227 1209688 1890454 2873009 3780908 5746018 7561816 11492036 17959313 22984072 35918626 71837252 84125203 143674504 168250406 336500812 673001624 1598378857 1605940673 3196757714 3211881346 6393515428 6423762692 12787030856 12847525384 30512872787 61025745574 122051491148 142928719897 244102982296 285857439794 571714879588 1143429759176 2715645678043 5431291356086 10862582712172 21725165424344