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10338925248 = 263282121863
BaseRepresentation
bin10011010000011111…
…10111101011000000
3222200112111211011100
421220033313223000
5132133231101443
64425531014400
7514131262131
oct115017675300
928615454140
1010338925248
114426065623
12200659a400
13c89c96862
14701189c88
15407a0a3d3
hex2683f7ac0

10338925248 has 84 divisors (see below), whose sum is σ = 29672115408. Its totient is φ = 3441953280.

The previous prime is 10338925237. The next prime is 10338925253. The reversal of 10338925248 is 84252983301.

10338925248 is a `hidden beast` number, since 1 + 0 + 3 + 38 + 92 + 524 + 8 = 666.

10338925248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461965 + ... + 483827.

Almost surely, 210338925248 is an apocalyptic number.

10338925248 is a gapful number since it is divisible by the number (18) 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 10338925248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14836057704).

10338925248 is an abundant number, since it is smaller than the sum of its proper divisors (19333190160).

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

10338925248 is a wasteful number, since it uses less digits than its factorization.

10338925248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22702 (or 22689 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10338925248 in words is "ten billion, three hundred thirty-eight million, nine hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 821 1642 2463 3284 4926 6568 7389 9852 13136 14778 19704 21863 26272 29556 39408 43726 52544 59112 65589 78816 87452 118224 131178 157632 174904 196767 236448 262356 349808 393534 472896 524712 699616 787068 1049424 1399232 1574136 2098848 3148272 4197696 6296544 12593088 17949523 35899046 53848569 71798092 107697138 143596184 161545707 215394276 287192368 323091414 430788552 574384736 646182828 861577104 1148769472 1292365656 1723154208 2584731312 3446308416 5169462624 10338925248