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10507899752 = 237443467907
BaseRepresentation
bin10011100100101000…
…11101001101101000
31000010022110121121022
421302110131031220
5133010010243002
64454404432012
7521252450150
oct116224351550
930108417538
1010507899752
114502487679
1220530a8608
13cb5caa17c
147197b3760
15417786ba2
hex27251d368

10507899752 has 64 divisors (see below), whose sum is σ = 22641016320. Its totient is φ = 4478655168.

The previous prime is 10507899751. The next prime is 10507899769. The reversal of 10507899752 is 25799870501.

It is a happy number.

It is a super-2 number, since 2×105078997522 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10507899694 and 10507899703.

It is not an unprimeable number, because it can be changed into a prime (10507899751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11584883 + ... + 11585789.

It is an arithmetic number, because the mean of its divisors is an integer number (353765880).

Almost surely, 210507899752 is an apocalyptic number.

It is an amenable number.

10507899752 is an abundant number, since it is smaller than the sum of its proper divisors (12133116568).

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

10507899752 is a wasteful number, since it uses less digits than its factorization.

10507899752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 53.

The spelling of 10507899752 in words is "ten billion, five hundred seven million, eight hundred ninety-nine thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 443 467 886 907 934 1772 1814 1868 3101 3269 3544 3628 3736 6202 6349 6538 7256 12404 12698 13076 24808 25396 26152 50792 206881 401801 413762 423569 803602 827524 847138 1448167 1607204 1655048 1694276 2812607 2896334 2964983 3214408 3388552 5625214 5792668 5929966 11250428 11585336 11859932 22500856 23719864 187641067 375282134 750564268 1313487469 1501128536 2626974938 5253949876 10507899752