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11701830625 = 5443272
BaseRepresentation
bin10101110010111101…
…11100001111100001
31010012112001120212021
422321132330033201
5142431132040000
65213054501441
7562660630162
oct127136741741
933175046767
1011701830625
114a65418601
122326b04881
131146458044
147d01a3769
154874c411a
hex2b97bc3e1

11701830625 has 15 divisors (see below), whose sum is σ = 14625987717. Its totient is φ = 9359301000.

The previous prime is 11701830619. The next prime is 11701830649. The reversal of 11701830625 is 52603810711.

It is a happy number.

The square root of 11701830625 is 108175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 917423521 + 10784407104 = 30289^2 + 103848^2 .

It is a de Polignac number, because none of the positive numbers 2k-11701830625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2702212 + ... + 2706538.

Almost surely, 211701830625 is an apocalyptic number.

11701830625 is the 108175-th square number.

11701830625 is the 54088-th centered octagonal number.

It is an amenable number.

11701830625 is a deficient number, since it is larger than the sum of its proper divisors (2924157092).

11701830625 is an frugal number, since it uses more digits than its factorization.

11701830625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8674 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 11701830625 in words is "eleven billion, seven hundred one million, eight hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 4327 21635 108175 540875 2704375 18722929 93614645 468073225 2340366125 11701830625