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10274587136 = 29111996017
BaseRepresentation
bin10011001000110100…
…11100001000000000
3222112001110002212022
421210122130020000
5132020243242021
64415312021012
7512420356352
oct114432341000
928461402768
1010274587136
1143a2811430
121ba8b31768
13c7985b178
146d67dd0d2
1540204c1ab
hex26469c200

10274587136 has 80 divisors (see below), whose sum is σ = 23574339360. Its totient is φ = 4424417280.

The previous prime is 10274587027. The next prime is 10274587159. The reversal of 10274587136 is 63178547201.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59000 + ... + 155016.

It is an arithmetic number, because the mean of its divisors is an integer number (294679242).

Almost surely, 210274587136 is an apocalyptic number.

10274587136 is a gapful number since it is divisible by the number (16) 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 10274587136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787169680).

10274587136 is an abundant number, since it is smaller than the sum of its proper divisors (13299752224).

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

10274587136 is an equidigital number, since it uses as much as digits as its factorization.

10274587136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96065 (or 96049 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 10274587136 in words is "ten billion, two hundred seventy-four million, five hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1216 1408 1672 2432 2816 3344 4864 5632 6688 9728 13376 26752 53504 96017 107008 192034 384068 768136 1056187 1536272 1824323 2112374 3072544 3648646 4224748 6145088 7297292 8449496 12290176 14594584 16898992 20067553 24580352 29189168 33797984 40135106 49160704 58378336 67595968 80270212 116756672 135191936 160540424 233513344 270383872 321080848 467026688 540767744 642161696 934053376 1284323392 2568646784 5137293568 10274587136