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10023344064 = 263223756593
BaseRepresentation
bin10010101010111000…
…00001011111000000
3221212112200122011100
421111130001133000
5131011434002224
64334335014400
7503250006306
oct112534013700
927775618140
1010023344064
114283a09828
121b3896a400
13c397a1a26
146b12bc276
153d9e6eac9
hex2557017c0

10023344064 has 84 divisors (see below), whose sum is σ = 29979280656. Its totient is φ = 3195844608.

The previous prime is 10023344029. The next prime is 10023344077. The reversal of 10023344064 is 46044332001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365049 + ... + 391544.

Almost surely, 210023344064 is an apocalyptic number.

It is an amenable number.

10023344064 is an abundant number, since it is smaller than the sum of its proper divisors (19955936592).

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

10023344064 is a wasteful number, since it uses less digits than its factorization.

10023344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756634 (or 756621 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10023344064 its reverse (46044332001), we get a palindrome (56067676065).

The spelling of 10023344064 in words is "ten billion, twenty-three million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 756593 1513186 2269779 3026372 4539558 6052744 6809337 9079116 12105488 13618674 17401639 18158232 24210976 27237348 34803278 36316464 48421952 52204917 54474696 69606556 72632928 104409834 108949392 139213112 145265856 156614751 208819668 217898784 278426224 313229502 417639336 435797568 556852448 626459004 835278672 1113704896 1252918008 1670557344 2505836016 3341114688 5011672032 10023344064