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13196495376 = 243431912
BaseRepresentation
bin11000100101001001…
…01000101000010000
31021001200112102110000
430102210220220100
5204011300323001
610021250410000
7645010234311
oct142244505020
937050472400
1013196495376
115662094329
122683590900
131323ccca5c
148d28b8608
15523817a86
hex312928a10

13196495376 has 75 divisors (see below), whose sum is σ = 38206459423. Its totient is φ = 4397453280.

The previous prime is 13196495317. The next prime is 13196495399. The reversal of 13196495376 is 67359469131.

The square root of 13196495376 is 114876.

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

13196495376 is a `hidden beast` number, since 1 + 31 + 96 + 495 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4133941 + ... + 4137131.

Almost surely, 213196495376 is an apocalyptic number.

13196495376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13196495376 is the 114876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13196495376

13196495376 is an abundant number, since it is smaller than the sum of its proper divisors (25009964047).

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

13196495376 is an frugal number, since it uses more digits than its factorization.

13196495376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 3196 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 13196495376 in words is "thirteen billion, one hundred ninety-six million, four hundred ninety-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3191 6382 9573 12764 19146 25528 28719 38292 51056 57438 76584 86157 114876 153168 172314 229752 258471 344628 459504 516942 689256 1033884 1378512 2067768 4135536 10182481 20364962 30547443 40729924 61094886 81459848 91642329 122189772 162919696 183284658 244379544 274926987 366569316 488759088 549853974 733138632 824780961 1099707948 1466277264 1649561922 2199415896 3299123844 4398831792 6598247688 13196495376