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10338859960 = 23511131807493
BaseRepresentation
bin10011010000011111…
…00111101110111000
3222200112101111121021
421220033213232320
5132133222004320
64425525352224
7514130600602
oct115017475670
928615344537
1010338859960
114426020570
122006568674
13c89c72c20
14701170172
154079e5daa
hex2683e7bb8

10338859960 has 64 divisors (see below), whose sum is σ = 27329309280. Its totient is φ = 3470384640.

The previous prime is 10338859933. The next prime is 10338859967. The reversal of 10338859960 is 6995883301.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 10338859898 and 10338859907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10338859967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 898027 + ... + 909466.

Almost surely, 210338859960 is an apocalyptic number.

10338859960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10338859960 is an abundant number, since it is smaller than the sum of its proper divisors (16990449320).

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

10338859960 is a wasteful number, since it uses less digits than its factorization.

10338859960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807528 (or 1807524 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 10338859960 in words is "ten billion, three hundred thirty-eight million, eight hundred fifty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 1807493 3614986 7229972 9037465 14459944 18074930 19882423 23497409 36149860 39764846 46994818 72299720 79529692 93989636 99412115 117487045 159059384 187979272 198824230 234974090 258471499 397648460 469948180 516942998 795296920 939896360 1033885996 1292357495 2067771992 2584714990 5169429980 10338859960