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13053976516 = 227281612
BaseRepresentation
bin11000010100001001…
…11101111111000100
31020200202100201022201
430022010331333010
5203213304222031
65555200004244
7641326653400
oct141204757704
936622321281
1013053976516
1155996a1849
122643900684
131300620079
148bb9ba100
15516064d61
hex30a13dfc4

13053976516 has 27 divisors (see below), whose sum is σ = 26577423117. Its totient is φ = 5593875840.

The previous prime is 13053976499. The next prime is 13053976519. The reversal of 13053976516 is 61567935031.

The square root of 13053976516 is 114254.

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

13053976516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4823858116 + 8230118400 = 69454^2 + 90720^2 .

It is not an unprimeable number, because it can be changed into a prime (13053976519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1595476 + ... + 1603636.

Almost surely, 213053976516 is an apocalyptic number.

13053976516 is the 114254-th square number.

It is an amenable number.

13053976516 is an abundant number, since it is smaller than the sum of its proper divisors (13523446601).

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

13053976516 is an frugal number, since it uses more digits than its factorization.

13053976516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16340 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 46.

The spelling of 13053976516 in words is "thirteen billion, fifty-three million, nine hundred seventy-six thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 8161 16322 32644 57127 114254 228508 399889 799778 1599556 66601921 133203842 266407684 466213447 932426894 1864853788 3263494129 6526988258 13053976516