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681540980225544 = 23341549678993397
BaseRepresentation
bin1001101011110110111010000…
…0000001101011011000001000
310022101010200101201220111020000
42122331232200001223120020
51203312331411414204134
610413303334243203000
7263361465560241345
oct23275564001533010
93271120351814200
10681540980225544
111881839a766746a
126453325b376460
132333a066c402ba
14c042a8bcdb7cc
1553bd6a1a5ee99
hex26bdba006b608

681540980225544 has 80 divisors (see below), whose sum is σ = 1910178176923500. Its totient is φ = 227033663833728.

The previous prime is 681540980225543. The next prime is 681540980225587. The reversal of 681540980225544 is 445522089045186.

681540980225544 is a `hidden beast` number, since 6 + 8 + 1 + 5 + 4 + 0 + 9 + 80 + 2 + 2 + 5 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 610684822113444 + 70856158112100 = 24712038^2 + 8417610^2 .

It is a super-2 number, since 2×6815409802255442 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (681540980225543) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 338492947 + ... + 340500450.

Almost surely, 2681540980225544 is an apocalyptic number.

It is an amenable number.

681540980225544 is an abundant number, since it is smaller than the sum of its proper divisors (1228637196697956).

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

681540980225544 is a wasteful number, since it uses less digits than its factorization.

681540980225544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678994964 (or 678994951 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 681540980225544 in words is "six hundred eighty-one trillion, five hundred forty billion, nine hundred eighty million, two hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1549 3098 4647 6196 9294 12392 13941 18588 27882 37176 41823 55764 83646 111528 125469 167292 250938 334584 501876 1003752 678993397 1357986794 2036980191 2715973588 4073960382 5431947176 6110940573 8147920764 12221881146 16295841528 18332821719 24443762292 36665643438 48887524584 54998465157 73331286876 109996930314 146662573752 219993860628 439987721256 1051760771953 2103521543906 3155282315859 4207043087812 6310564631718 8414086175624 9465846947577 12621129263436 18931693895154 25242258526872 28397540842731 37863387790308 56795081685462 75726775580616 85192622528193 113590163370924 170385245056386 227180326741848 340770490112772 681540980225544