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687685676675625 = 345457723542313
BaseRepresentation
bin1001110001011100100100110…
…0011110011011001000101001
310100011220002221012100022020000
42130113021030132123020221
51210114020231212110000
610434330234421253213
7264564436100263245
oct23427111436331051
93304802835308200
10687685676675625
1118a132948611461
1265166111864209
1323694633b4c114
14c1b6242d61425
155478438bb0000
hex271724c79b229

687685676675625 has 100 divisors (see below), whose sum is σ = 1285918340451492. Its totient is φ = 366130036224000.

The previous prime is 687685676675603. The next prime is 687685676675717. The reversal of 687685676675625 is 526576676586786.

It can be written as a sum of positive squares in 10 ways, for example, as 279090068468121 + 408595608207504 = 16705989^2 + 20213748^2 .

It is not a de Polignac number, because 687685676675625 - 27 = 687685676675497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 17439469 + ... + 40981781.

Almost surely, 2687685676675625 is an apocalyptic number.

It is an amenable number.

687685676675625 is a deficient number, since it is larger than the sum of its proper divisors (598232663775867).

687685676675625 is an equidigital number, since it uses as much as digits as its factorization.

687685676675625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23542922 (or 23542898 counting only the distinct ones).

The product of its digits is 256048128000, while the sum is 90.

The spelling of 687685676675625 in words is "six hundred eighty-seven trillion, six hundred eighty-five billion, six hundred seventy-six million, six hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 577 625 675 1125 1731 1875 2025 2885 3375 5193 5625 8655 10125 14425 15579 16875 25965 43275 46737 50625 72125 77895 129825 216375 233685 360625 389475 649125 1081875 1168425 1947375 3245625 5842125 9736875 23542313 29210625 70626939 117711565 211880817 353134695 588557825 635642451 1059404085 1765673475 1906927353 2942789125 3178212255 5297020425 8828367375 9534636765 13583914601 14713945625 15891061275 26485102125 40751743803 44141836875 47673183825 67919573005 79455306375 122255231409 132425510625 203758719015 238365919125 339597865025 366765694227 397276531875 611276157045 1018793595075 1100297082681 1191829595625 1697989325125 1833828471135 3056380785225 5093967975375 5501485413405 8489946625625 9169142355675 15281903926125 25469839876875 27507427067025 45845711778375 76409519630625 137537135335125 229228558891875 687685676675625