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21374332241625 = 3353114114042429
BaseRepresentation
bin1001101110000100110010…
…11110110000011011011001
32210200100212222001002001000
410313002121132300123121
510300144113023213000
6113243122131415213
74334146610232066
oct467023136603331
983610788032030
1021374332241625
1168a0892360580
1224925a4754509
13bc078b2233ac
1453c747939c6d
15270ede8be000
hex1370997b06d9

21374332241625 has 128 divisors (see below), whose sum is σ = 44162880652800. Its totient is φ = 10110548160000.

The previous prime is 21374332241621. The next prime is 21374332241629. The reversal of 21374332241625 is 52614223347312.

21374332241625 is a `hidden beast` number, since 2 + 1 + 3 + 74 + 332 + 241 + 6 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (21374332241621) and next prime (21374332241629).

It is not a de Polignac number, because 21374332241625 - 22 = 21374332241621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21374332241621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5499090 + ... + 8543339.

It is an arithmetic number, because the mean of its divisors is an integer number (345022505100).

Almost surely, 221374332241625 is an apocalyptic number.

21374332241625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21374332241625 is an abundant number, since it is smaller than the sum of its proper divisors (22788548411175).

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

21374332241625 is a wasteful number, since it uses less digits than its factorization.

21374332241625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14042505 (or 14042489 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

Adding to 21374332241625 its reverse (52614223347312), we get a palindrome (73988555588937).

The spelling of 21374332241625 in words is "twenty-one trillion, three hundred seventy-four billion, three hundred thirty-two million, two hundred forty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 41 45 55 75 99 123 125 135 165 205 225 275 297 369 375 451 495 615 675 825 1025 1107 1125 1353 1375 1485 1845 2255 2475 3075 3375 4059 4125 5125 5535 6765 7425 9225 11275 12177 12375 15375 20295 27675 33825 37125 46125 56375 60885 101475 138375 169125 304425 507375 1522125 14042429 42127287 70212145 126381861 154466719 210636435 351060725 379145583 463400157 575739589 631909305 772333595 1053182175 1390200471 1727218767 1755303625 1895727915 2317000785 2878697945 3159546525 3861667975 4170601413 5181656301 5265910875 6333135479 6951002355 8636093835 9478639575 11585003925 14393489725 15544968903 15797732625 18999406437 19308339875 20853007065 25908281505 31665677395 34755011775 43180469175 47393197875 56998219311 57925019625 71967448625 77724844515 94997032185 104265035325 129541407525 158328386975 170994657933 173775058875 215902345875 284991096555 388624222575 474985160925 521325176625 647707037625 791641934875 854973289665 1424955482775 1943121112875 2374925804625 4274866448325 7124777413875 21374332241625