Base | Representation |
---|---|
bin | 11000100000011101… |
… | …11000000100100001 |
3 | 1020221221122220010000 |
4 | 30100032320010201 |
5 | 203421223041100 |
6 | 10013325130213 |
7 | 644022445422 |
oct | 142016700441 |
9 | 36857586100 |
10 | 13157237025 |
11 | 5641a0aa09 |
12 | 26723b9969 |
13 | 1318b3596a |
14 | 8cb5b9649 |
15 | 520160900 |
hex | 3103b8121 |
13157237025 has 45 divisors (see below), whose sum is σ = 24381316201. Its totient is φ = 7014440160.
The previous prime is 13157236999. The next prime is 13157237047. The reversal of 13157237025 is 52073275131.
It is a happy number.
The square root of 13157237025 is 114705.
It is a perfect power (a square), and thus also a powerful number.
13157237025 is a `hidden beast` number, since 1 + 31 + 572 + 37 + 0 + 25 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1679114529 + 11478122496 = 40977^2 + 107136^2 .
It is a tau number, because it is divible by the number of its divisors (45).
It is not a de Polignac number, because 13157237025 - 25 = 13157236993 is a prime.
It is a super-2 number, since 2×131572370252 (a number of 21 digits) contains 22 as substring.
It is a Duffinian number.
It is a Curzon number.
It is an unprimeable number.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5160451 + ... + 5162999.
Almost surely, 213157237025 is an apocalyptic number.
13157237025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
13157237025 is the 114705-th square number.
13157237025 is the 57353-rd centered octagonal number.
It is an amenable number.
13157237025 is a deficient number, since it is larger than the sum of its proper divisors (11224079176).
13157237025 is an frugal number, since it uses more digits than its factorization.
13157237025 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5120 (or 2557 counting only the distinct ones).
The product of its (nonzero) digits is 44100, while the sum is 36.
Multiplying 13157237025 by its sum of digits (36), we get a square (473660532900 = 6882302).
Multiplying 13157237025 by its product of nonzero digits (44100), we get a square (580234152802500 = 240880502).
The spelling of 13157237025 in words is "thirteen billion, one hundred fifty-seven million, two hundred thirty-seven thousand, twenty-five".
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