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10288689138 = 23271331202621
BaseRepresentation
bin10011001010100000…
…01110111111110010
3222120000222120011200
421211100032333302
5132032401023023
64420534152030
7512651262150
oct114520167762
928500876150
1010288689138
1143aa773482
121bb17b2616
13c7c757b50
146d86303d0
154033d5743
hex26540eff2

10288689138 has 96 divisors (see below), whose sum is σ = 28321692672. Its totient is φ = 2625955200.

The previous prime is 10288689137. The next prime is 10288689149. The reversal of 10288689138 is 83198688201.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10288689137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50533 + ... + 152088.

It is an arithmetic number, because the mean of its divisors is an integer number (295017632).

Almost surely, 210288689138 is an apocalyptic number.

10288689138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10288689138 is an abundant number, since it is smaller than the sum of its proper divisors (18033003534).

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

10288689138 is a wasteful number, since it uses less digits than its factorization.

10288689138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202680 (or 202677 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 10288689138 in words is "ten billion, two hundred eighty-eight million, six hundred eighty-nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 806 819 1209 1302 1638 1953 2418 2821 3627 3906 5642 7254 8463 16926 25389 50778 202621 405242 607863 1215726 1418347 1823589 2634073 2836694 3647178 4255041 5268146 6281251 7902219 8510082 12562502 12765123 15804438 18438511 18843753 23706657 25530246 36877022 37687506 43968757 47413314 55315533 56531259 81656263 87937514 110631066 113062518 131906271 163312526 165946599 244968789 263812542 331893198 395718813 489937578 571593841 734906367 791437626 1143187682 1469812734 1714781523 3429563046 5144344569 10288689138