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12531011364 = 22386912
BaseRepresentation
bin10111010101110100…
…00000111100100100
31012100022022100000000
423222322000330210
5201130414330424
65431235021300
7622346560554
oct135272007444
935308270000
1012531011364
11535047a343
12251873a830
131249187031
1486c367164
154d51b23c9
hex2eae80f24

12531011364 has 81 divisors (see below), whose sum is σ = 32939903451. Its totient is φ = 4170958920.

The previous prime is 12531011341. The next prime is 12531011369. The reversal of 12531011364 is 46311013521.

It is a happy number.

The square root of 12531011364 is 111942.

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

12531011364 is a `hidden beast` number, since 12 + 531 + 0 + 113 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12531011369) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18134259 + ... + 18134949.

Almost surely, 212531011364 is an apocalyptic number.

12531011364 is the 111942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12531011364

12531011364 is an abundant number, since it is smaller than the sum of its proper divisors (20408892087).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12531011364 is an frugal number, since it uses more digits than its factorization.

12531011364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 12531011364 its reverse (46311013521), we get a palindrome (58842024885).

The spelling of 12531011364 in words is "twelve billion, five hundred thirty-one million, eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 691 729 972 1382 1458 2073 2187 2764 2916 4146 4374 6219 6561 8292 8748 12438 13122 18657 24876 26244 37314 55971 74628 111942 167913 223884 335826 477481 503739 671652 954962 1007478 1432443 1511217 1909924 2014956 2864886 3022434 4297329 4533651 5729772 6044868 8594658 9067302 12891987 17189316 18134604 25783974 38675961 51567948 77351922 116027883 154703844 232055766 348083649 464111532 696167298 1044250947 1392334596 2088501894 3132752841 4177003788 6265505682 12531011364