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13652470755625 = 54132113692
BaseRepresentation
bin1100011010101011011010…
…1010110111000100101001
31210100011102011100010221011
43012222312222313010221
53242140230003140000
645011505233143521
72606233644460342
oct306526652670451
953304364303834
1013652470755625
114393a86905639
121645b349baba1
13780565215a00
14352ad6bd70c9
1518a1eac4a2ba
hexc6ab6ab7129

13652470755625 has 45 divisors (see below), whose sum is σ = 18475017487113. Its totient is φ = 10080937776000.

The previous prime is 13652470755577. The next prime is 13652470755631. The reversal of 13652470755625 is 52655707425631.

The square root of 13652470755625 is 3694925.

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

It can be written as a sum of positive squares in 22 ways, for example, as 9328217049369 + 4324253706256 = 3054213^2 + 2079484^2 .

It is not a de Polignac number, because 13652470755625 - 217 = 13652470624553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13652470755625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1200844941 + ... + 1200856309.

Almost surely, 213652470755625 is an apocalyptic number.

13652470755625 is the 3694925-th square number.

13652470755625 is the 1847463-rd centered octagonal number.

It is an amenable number.

13652470755625 is a deficient number, since it is larger than the sum of its proper divisors (4822546731488).

13652470755625 is an frugal number, since it uses more digits than its factorization.

13652470755625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22784 (or 11387 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 58.

The spelling of 13652470755625 in words is "thirteen trillion, six hundred fifty-two billion, four hundred seventy million, seven hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 625 845 1625 4225 8125 11369 21125 56845 105625 147797 284225 738985 1421125 1921361 3694925 7105625 9606805 18474625 48034025 92373125 129254161 240170125 646270805 1200850625 1680304093 3231354025 8401520465 16156770125 21843953209 42007602325 80783850625 109219766045 210038011625 546098830225 1050190058125 2730494151125 13652470755625