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10388297929 = 22724492
BaseRepresentation
bin10011010110011000…
…01101100011001001
3222210222102012202011
421223030031203021
5132233401013204
64434453135521
7515301034612
oct115314154311
928728365664
1010388297929
114450a17a99
12201b02a5a1
13c97292569
1470795cc09
1540c00e304
hex26b30d8c9

10388297929 has 9 divisors (see below), whose sum is σ = 10457553607. Its totient is φ = 10319499904.

The previous prime is 10388297911. The next prime is 10388297939. The reversal of 10388297929 is 92979288301.

The square root of 10388297929 is 101923.

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., 6348424329 + 4039873600 = 79677^2 + 63560^2 .

It is not a de Polignac number, because 10388297929 - 25 = 10388297897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10388297939) 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, 23136297 + ... + 23136745.

Almost surely, 210388297929 is an apocalyptic number.

10388297929 is the 101923-rd square number.

10388297929 is the 50962-nd centered octagonal number.

It is an amenable number.

10388297929 is a deficient number, since it is larger than the sum of its proper divisors (69255678).

10388297929 is an frugal number, since it uses more digits than its factorization.

10388297929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 10388297929 in words is "ten billion, three hundred eighty-eight million, two hundred ninety-seven thousand, nine hundred twenty-nine".

Divisors: 1 227 449 51529 101923 201601 23136521 45763427 10388297929