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15113939152225 = 52641212132
BaseRepresentation
bin1101101111101111110011…
…1110010110110101100001
31222111212201101222000121111
43123323330332112311201
53440111321410332400
652051125305023321
73116642334045634
oct333737476266541
958455641860544
1015113939152225
1148a78706a4aa1
121841223784b41
13858313855294
143a3738ccdc1b
151b32354b33ba
hexdbefcf96d61

15113939152225 has 27 divisors (see below), whose sum is σ = 18786054991179. Its totient is φ = 12062335948800.

The previous prime is 15113939152211. The next prime is 15113939152231. The reversal of 15113939152225 is 52225193931151.

The square root of 15113939152225 is 3887665.

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

It can be written as a sum of positive squares in 13 ways, for example, as 11257051653409 + 3856887498816 = 3355153^2 + 1963896^2 .

It is a de Polignac number, because none of the positive numbers 2k-15113939152225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12459965719 + ... + 12459966931.

Almost surely, 215113939152225 is an apocalyptic number.

15113939152225 is the 3887665-th square number.

15113939152225 is the 1943833-rd centered octagonal number.

It is an amenable number.

15113939152225 is a deficient number, since it is larger than the sum of its proper divisors (3672115838954).

15113939152225 is an frugal number, since it uses more digits than its factorization.

15113939152225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 1859 counting only the distinct ones).

The product of its digits is 729000, while the sum is 49.

Multiplying 15113939152225 by its sum of digits (49), we get a square (740583018459025 = 272136552).

It can be divided in two parts, 151139391 and 52225, that added together give a square (151191616 = 122962).

The spelling of 15113939152225 in words is "fifteen trillion, one hundred thirteen billion, nine hundred thirty-nine million, one hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 641 1213 3205 6065 16025 30325 410881 777533 1471369 2054405 3887665 7356845 10272025 19438325 36784225 498398653 943147529 2491993265 4715737645 12459966325 23578688225 604557566089 3022787830445 15113939152225