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10087590969 = 32334792
BaseRepresentation
bin10010110010100010…
…00110110000111001
3222001000120201100100
421121101012300321
5131124410402334
64344552030013
7504660052131
oct113121066071
928030521310
1010087590969
114307200445
121b56392309
13c49ba7a51
146b9a43ac1
153e0910c99
hex259446c39

10087590969 has 9 divisors (see below), whose sum is σ = 14571399973. Its totient is φ = 6724859772.

The previous prime is 10087590967. The next prime is 10087590971. The reversal of 10087590969 is 96909578001.

The square root of 10087590969 is 100437.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (10087590967) and next prime (10087590971).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10087590969 - 21 = 10087590967 is a prime.

It is a super-2 number, since 2×100875909692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10087590967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 284572 + ... + 318050.

Almost surely, 210087590969 is an apocalyptic number.

10087590969 is the 100437-th square number.

10087590969 is the 50219-th centered octagonal number.

It is an amenable number.

10087590969 is a deficient number, since it is larger than the sum of its proper divisors (4483809004).

10087590969 is an frugal number, since it uses more digits than its factorization.

10087590969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66964 (or 33482 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

It can be divided in two parts, 100875 and 90969, that added together give a square (191844 = 4382).

The spelling of 10087590969 in words is "ten billion, eighty-seven million, five hundred ninety thousand, nine hundred sixty-nine".

Divisors: 1 3 9 33479 100437 301311 1120843441 3362530323 10087590969