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681170197305906 = 2327112292146134449
BaseRepresentation
bin1001101011100001010100101…
…1101001000101101000110010
310022022211020100020102120202200
42122320111023221011220302
51203240243031002242111
610412421134010324030
7263322631330361550
oct23270251351055062
93268736306376680
10681170197305906
11188050727343a80
1264493420a29616
13233110c67146b9
14c02cb561c2bd0
1553b3c0018e256
hex26b854ba45a32

681170197305906 has 96 divisors (see below), whose sum is σ = 1848079297584000. Its totient is φ = 176154715491840.

The previous prime is 681170197305889. The next prime is 681170197306043. The reversal of 681170197305906 is 609503791071186.

681170197305906 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 7 + 0 + 1 + 9 + 7 + 30 + 590 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1072749831 + ... + 1073384618.

It is an arithmetic number, because the mean of its divisors is an integer number (19250826016500).

Almost surely, 2681170197305906 is an apocalyptic number.

681170197305906 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

681170197305906 is an abundant number, since it is smaller than the sum of its proper divisors (1166909100278094).

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

681170197305906 is a wasteful number, since it uses less digits than its factorization.

681170197305906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146134704 (or 2146134701 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 681170197305906 in words is "six hundred eighty-one trillion, one hundred seventy billion, one hundred ninety-seven million, three hundred five thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 229 231 458 462 687 693 1374 1386 1603 2061 2519 3206 4122 4809 5038 7557 9618 14427 15114 17633 22671 28854 35266 45342 52899 105798 158697 317394 2146134449 4292268898 6438403347 12876806694 15022941143 19315210041 23607478939 30045882286 38630420082 45068823429 47214957878 70822436817 90137646858 135206470287 141644873634 165252352573 212467310451 270412940574 330504705146 424934620902 491464788821 495757057719 982929577642 991514115438 1474394366463 1487271173157 2948788732926 2974542346314 3440253521747 4423183099389 5406112677031 6880507043494 8846366198778 10320760565241 10812225354062 16218338031093 20641521130482 30962281695723 32436676062186 37842788739217 48655014093279 61924563391446 75685577478434 97310028186558 113528366217651 227056732435302 340585098652953 681170197305906