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13861436379025 = 52211235292
BaseRepresentation
bin1100100110110101110111…
…1111011100111110010001
31211002010210100000200121111
43021231131333130332101
53304101210203112100
645251504515453321
72630312213121154
oct311553577347621
954063710020544
1013861436379025
114464669518354
12167a532bb7241
13797187b3a091
1435cc7b901c9b
1519087b35a6ba
hexc9b5dfdcf91

13861436379025 has 27 divisors (see below), whose sum is σ = 17274922885233. Its totient is φ = 11033466494400.

The previous prime is 13861436378983. The next prime is 13861436379029. The reversal of 13861436379025 is 52097363416831.

The square root of 13861436379025 is 3723095.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4634689925889 + 9226746453136 = 2152833^2 + 3037556^2 .

It is not a de Polignac number, because 13861436379025 - 29 = 13861436378513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13861436379029) 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, 3927863461 + ... + 3927866989.

It is a 1-persistent number, because it is pandigital, but 2⋅13861436379025 = 27722872758050 is not.

Almost surely, 213861436379025 is an apocalyptic number.

13861436379025 is the 3723095-th square number.

13861436379025 is the 1861548-th centered octagonal number.

It is an amenable number.

13861436379025 is a deficient number, since it is larger than the sum of its proper divisors (3413486506208).

13861436379025 is an frugal number, since it uses more digits than its factorization.

13861436379025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7490 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 13861436379025 in words is "thirteen trillion, eight hundred sixty-one billion, four hundred thirty-six million, three hundred seventy-nine thousand, twenty-five".

Divisors: 1 5 25 211 1055 3529 5275 17645 44521 88225 222605 744619 1113025 3723095 12453841 18615475 62269205 157114609 311346025 785573045 2627760451 3927865225 13138802255 65694011275 554457455161 2772287275805 13861436379025