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10457378082 = 2324147301487
BaseRepresentation
bin10011011110100111…
…01110110100100010
3222222210101211220100
421233103232310202
5132404042044312
64445401523230
7520100150514
oct115723566442
928883354810
1010457378082
114486a0aa28
12203a1a3516
13ca869b4a8
14712bc1bb4
154131075dc
hex26f4eed22

10457378082 has 48 divisors (see below), whose sum is σ = 23704192512. Its totient is φ = 3328405440.

The previous prime is 10457378051. The next prime is 10457378093. The reversal of 10457378082 is 28087375401.

10457378082 is a `hidden beast` number, since 1 + 0 + 4 + 573 + 78 + 0 + 8 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116058 + ... + 185429.

It is an arithmetic number, because the mean of its divisors is an integer number (493837344).

Almost surely, 210457378082 is an apocalyptic number.

10457378082 is an abundant number, since it is smaller than the sum of its proper divisors (13246814430).

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

10457378082 is a wasteful number, since it uses less digits than its factorization.

10457378082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301583 (or 301580 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10457378082 in words is "ten billion, four hundred fifty-seven million, three hundred seventy-eight thousand, eighty-two".

Divisors: 1 2 3 6 9 18 41 47 82 94 123 141 246 282 369 423 738 846 1927 3854 5781 11562 17343 34686 301487 602974 904461 1808922 2713383 5426766 12360967 14169889 24721934 28339778 37082901 42509667 74165802 85019334 111248703 127529001 222497406 255058002 580965449 1161930898 1742896347 3485792694 5228689041 10457378082