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685226350656 = 2634114972
BaseRepresentation
bin10011111100010101010…
…11000101100001000000
32102111200121021020210000
421332022223011201000
542211320421210111
61242442202440000
7100335355610361
oct11761253054100
92374617236700
10685226350656
1124466a458241
12b0974b03000
134c8027a30b3
14252451a1b68
1512c570a4c56
hex9f8aac5840

685226350656 has 105 divisors (see below), whose sum is σ = 2031402255069. Its totient is φ = 228388916736.

The previous prime is 685226350537. The next prime is 685226350673. The reversal of 685226350656 is 656053622586.

The square root of 685226350656 is 827784.

It is a perfect power (a square), and thus also a powerful number.

685226350656 is a `hidden beast` number, since 6 + 8 + 5 + 22 + 63 + 506 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 411086145600 + 274140205056 = 641160^2 + 523584^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 59594700 + ... + 59606196.

Almost surely, 2685226350656 is an apocalyptic number.

685226350656 is the 827784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685226350656

685226350656 is an abundant number, since it is smaller than the sum of its proper divisors (1346175904413).

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

685226350656 is an frugal number, since it uses more digits than its factorization.

685226350656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23018 (or 11502 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 685226350656 in words is "six hundred eighty-five billion, two hundred twenty-six million, three hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 11497 22994 34491 45988 68982 91976 103473 137964 183952 206946 275928 310419 367904 413892 551856 620838 735808 827784 931257 1103712 1241676 1655568 1862514 2207424 2483352 3311136 3725028 4966704 6622272 7450056 9933408 14900112 19866816 29800224 59600448 132181009 264362018 396543027 528724036 793086054 1057448072 1189629081 1586172108 2114896144 2379258162 3172344216 3568887243 4229792288 4758516324 6344688432 7137774486 8459584576 9517032648 10706661729 12689376864 14275548972 19034065296 21413323458 25378753728 28551097944 38068130592 42826646916 57102195888 76136261184 85653293832 114204391776 171306587664 228408783552 342613175328 685226350656