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10116939889 = 72143692
BaseRepresentation
bin10010110110000010…
…00100000001110001
3222010001210210111101
421123001010001301
5131204414034024
64351521044401
7505464366400
oct113301040161
928101723441
1010116939889
114321826751
121b64186701
13c52cb2584
146bd8c3637
153e32abc44
hex25b044071

10116939889 has 9 divisors (see below), whose sum is σ = 11769504267. Its totient is φ = 8671059264.

The previous prime is 10116939839. The next prime is 10116939923. The reversal of 10116939889 is 98893961101.

The square root of 10116939889 is 100583.

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

It can be written as a sum of positive squares in only one way, i.e., 6112581489 + 4004358400 = 78183^2 + 63280^2 .

It is not a de Polignac number, because 10116939889 - 211 = 10116937841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10116939839) 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, 696897 + ... + 711265.

Almost surely, 210116939889 is an apocalyptic number.

10116939889 is the 100583-rd square number.

10116939889 is the 50292-nd centered octagonal number.

It is an amenable number.

10116939889 is a deficient number, since it is larger than the sum of its proper divisors (1652564378).

10116939889 is an frugal number, since it uses more digits than its factorization.

10116939889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28752 (or 14376 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 55.

The spelling of 10116939889 in words is "ten billion, one hundred sixteen million, nine hundred thirty-nine thousand, eight hundred eighty-nine".

Divisors: 1 7 49 14369 100583 704081 206468161 1445277127 10116939889