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10290774663 = 3213314365983
BaseRepresentation
bin10011001010110000…
…01100001010000111
3222120011220111222100
421211120030022013
5132033414242123
64421051003143
7513005066331
oct114530141207
928504814870
1010290774663
114400968354
121bb24394b3
13c800081a0
146d8a14451
15403698643
hex26560c287

10290774663 has 48 divisors (see below), whose sum is σ = 16908795904. Its totient is φ = 5985887040.

The previous prime is 10290774629. The next prime is 10290774707. The reversal of 10290774663 is 36647709201.

It is a de Polignac number, because none of the positive numbers 2k-10290774663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10290774163) 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, 122970 + ... + 188952.

Almost surely, 210290774663 is an apocalyptic number.

10290774663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10290774663 is a deficient number, since it is larger than the sum of its proper divisors (6618021241).

10290774663 is a wasteful number, since it uses less digits than its factorization.

10290774663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66076 (or 66073 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10290774663 in words is "ten billion, two hundred ninety million, seven hundred seventy-four thousand, six hundred sixty-three".

Divisors: 1 3 9 13 31 39 43 93 117 129 279 387 403 559 1209 1333 1677 3627 3999 5031 11997 17329 51987 65983 155961 197949 593847 857779 2045473 2573337 2837269 6136419 7720011 8511807 18409257 25535421 26591149 36884497 79773447 87955339 110653491 239320341 263866017 331960473 791598051 1143419407 3430258221 10290774663