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10507919968 = 257133608489
BaseRepresentation
bin10011100100101001…
…00010001001100000
31000010022111122100001
421302110202021200
5133010011414333
64454405105344
7521252563120
oct116224421140
930108448301
1010507919968
1145024a0887
1220530b8254
13cb5cb6430
147197bac80
1541778cb7d
hex272522260

10507919968 has 48 divisors (see below), whose sum is σ = 25461505440. Its totient is φ = 4156978176.

The previous prime is 10507919959. The next prime is 10507919987. The reversal of 10507919968 is 86991970501.

It is a super-2 number, since 2×105079199682 (a number of 21 digits) contains 22 as substring.

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, 1801333 + ... + 1807156.

It is an arithmetic number, because the mean of its divisors is an integer number (530448030).

Almost surely, 210507919968 is an apocalyptic number.

It is an amenable number.

10507919968 is an abundant number, since it is smaller than the sum of its proper divisors (14953585472).

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

10507919968 is a wasteful number, since it uses less digits than its factorization.

10507919968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608519 (or 3608511 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 55.

The spelling of 10507919968 in words is "ten billion, five hundred seven million, nine hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 3608489 7216978 14433956 25259423 28867912 46910357 50518846 57735824 93820714 101037692 115471648 187641428 202075384 328372499 375282856 404150768 656744998 750565712 808301536 1313489996 1501131424 2626979992 5253959984 10507919968