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681732600241 = 72112107232
BaseRepresentation
bin10011110101110100110…
…11011111000110110001
32102011200010011100012111
421322322123133012301
542132142021201431
61241103355325321
7100152653330200
oct11727233370661
92364603140174
10681732600241
11243137309900
12b015aa50841
134c396a14264
1424dd318d237
1512b004ce7b1
hex9eba6df1b1

681732600241 has 27 divisors (see below), whose sum is σ = 871765367193. Its totient is φ = 531170667720.

The previous prime is 681732600233. The next prime is 681732600247. The reversal of 681732600241 is 142006237186.

The square root of 681732600241 is 825671.

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

It is not a de Polignac number, because 681732600241 - 23 = 681732600233 is a prime.

It is a super-2 number, since 2×6817326002412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 681732600194 and 681732600203.

It is not an unprimeable number, because it can be changed into a prime (681732600247) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63571306 + ... + 63582028.

Almost surely, 2681732600241 is an apocalyptic number.

681732600241 is the 825671-st square number.

681732600241 is the 412836-th centered octagonal number.

It is an amenable number.

681732600241 is a deficient number, since it is larger than the sum of its proper divisors (190032766952).

681732600241 is an frugal number, since it uses more digits than its factorization.

681732600241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21482 (or 10741 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 681732600241 in words is "six hundred eighty-one billion, seven hundred thirty-two million, six hundred thousand, two hundred forty-one".

Divisors: 1 7 11 49 77 121 539 847 5929 10723 75061 117953 525427 825671 1297483 5779697 9082381 63576667 114982729 804879103 1264810019 5634153721 8853670133 13912910209 61975690931 97390371463 681732600241