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10042752736 = 253133173163
BaseRepresentation
bin10010101101001100…
…00011111011100000
3221220220012200212001
421112212003323200
5131031421041421
64340311013344
7503603663332
oct112646037340
927826180761
1010042752736
114293965855
121b4336a254
13c40808c53
146b3ad1452
153dba05691
hex256983ee0

10042752736 has 48 divisors (see below), whose sum is σ = 19903698864. Its totient is φ = 4987966464.

The previous prime is 10042752721. The next prime is 10042752793. The reversal of 10042752736 is 63725724001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10042752695 and 10042752704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3173491 + ... + 3176653.

It is an arithmetic number, because the mean of its divisors is an integer number (414660393).

Almost surely, 210042752736 is an apocalyptic number.

10042752736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10042752736 is a deficient number, since it is larger than the sum of its proper divisors (9860946128).

10042752736 is a wasteful number, since it uses less digits than its factorization.

10042752736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 10042752736 in words is "ten billion, forty-two million, seven hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 313 317 626 634 1252 1268 2504 2536 3163 5008 5072 6326 10016 10144 12652 25304 50608 99221 101216 198442 396884 793768 990019 1002671 1587536 1980038 2005342 3175072 3960076 4010684 7920152 8021368 15840304 16042736 31680608 32085472 313836023 627672046 1255344092 2510688184 5021376368 10042752736