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10057041582 = 2371929343013
BaseRepresentation
bin10010101110111001…
…00100011010101110
3221221220002122110120
421113130210122232
5131044100312312
64341541145410
7504136304640
oct112734443256
927856078416
1010057041582
1142a0a35215
121b480bb266
13c4376c9a3
146b5970890
153dcdc928c
hex2577246ae

10057041582 has 64 divisors (see below), whose sum is σ = 24280542720. Its totient is φ = 2712852864.

The previous prime is 10057041557. The next prime is 10057041593. The reversal of 10057041582 is 28514075001.

It is a super-2 number, since 2×100570415822 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212308 + ... + 255320.

It is an arithmetic number, because the mean of its divisors is an integer number (379383480).

Almost surely, 210057041582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10057041582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12140271360).

10057041582 is an abundant number, since it is smaller than the sum of its proper divisors (14223501138).

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

10057041582 is a wasteful number, since it uses less digits than its factorization.

10057041582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43337.

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 10057041582 in words is "ten billion, fifty-seven million, forty-one thousand, five hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 293 399 586 798 879 1758 2051 4102 5567 6153 11134 12306 16701 33402 38969 43013 77938 86026 116907 129039 233814 258078 301091 602182 817247 903273 1634494 1806546 2451741 4903482 5720729 11441458 12602809 17162187 25205618 34324374 37808427 75616854 88219663 176439326 239453371 264658989 478906742 529317978 718360113 1436720226 1676173597 3352347194 5028520791 10057041582