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681808941 = 331123151661
BaseRepresentation
bin101000101000111…
…001010000101101
31202111221111001000
4220220321100231
52344020341231
6151353310513
722616165112
oct5050712055
91674844030
10681808941
1131a955170
12170405439
13ab340458
14667a0909
153eccc6e6
hex28a3942d

681808941 has 64 divisors (see below), whose sum is σ = 1159188480. Its totient is φ = 392040000.

The previous prime is 681808909. The next prime is 681808943. The reversal of 681808941 is 149808186.

It is not a de Polignac number, because 681808941 - 25 = 681808909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681808943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1031151 + ... + 1031811.

It is an arithmetic number, because the mean of its divisors is an integer number (18112320).

Almost surely, 2681808941 is an apocalyptic number.

It is an amenable number.

681808941 is a deficient number, since it is larger than the sum of its proper divisors (477379539).

681808941 is a wasteful number, since it uses less digits than its factorization.

681808941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 681808941 is about 26111.4714445586. The cubic root of 681808941 is about 880.1450092475.

The spelling of 681808941 in words is "six hundred eighty-one million, eight hundred eight thousand, nine hundred forty-one".

Divisors: 1 3 9 11 23 27 33 69 99 151 207 253 297 453 621 661 759 1359 1661 1983 2277 3473 4077 4983 5949 6831 7271 10419 14949 15203 17847 21813 31257 38203 44847 45609 65439 93771 99811 114609 136827 167233 196317 299433 343827 410481 501699 898299 1031481 1097921 1505097 2295653 2694897 3293763 4515291 6886959 9881289 20660877 25252183 29643867 61982631 75756549 227269647 681808941