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10585923612 = 22311240118181
BaseRepresentation
bin10011101101111100…
…00110000000011100
31000022202021122012220
421312332012000130
5133134444023422
64510233025340
7523220603025
oct116676060034
930282248186
1010585923612
114542529100
122075255250
13cc91c7c34
14725cc3c4c
1541e549e5c
hex276f8601c

10585923612 has 72 divisors (see below), whose sum is σ = 27219326736. Its totient is φ = 3199680000.

The previous prime is 10585923611. The next prime is 10585923629. The reversal of 10585923612 is 21632958501.

It is a super-2 number, since 2×105859236122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585923611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573162 + ... + 591342.

Almost surely, 210585923612 is an apocalyptic number.

10585923612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10585923612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13609663368).

10585923612 is an abundant number, since it is smaller than the sum of its proper divisors (16633403124).

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

10585923612 is a wasteful number, since it uses less digits than its factorization.

10585923612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18611 (or 18598 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 10585923612 in words is "ten billion, five hundred eighty-five million, nine hundred twenty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 401 484 726 802 1203 1452 1604 2406 4411 4812 8822 13233 17644 18181 26466 36362 48521 52932 54543 72724 97042 109086 145563 194084 199991 218172 291126 399982 582252 599973 799964 1199946 2199901 2399892 4399802 6599703 7290581 8799604 13199406 14581162 21871743 26398812 29162324 43743486 80196391 87486972 160392782 240589173 320785564 481178346 882160301 962356692 1764320602 2646480903 3528641204 5292961806 10585923612