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11963109376 = 21217092
BaseRepresentation
bin10110010010000111…
…01001000000000000
31010212201200220221001
423021003221000000
5144000024000001
65255030541344
7602312515621
oct131103510000
933781626831
1011963109376
115089955159
12239a507854
13118861935a
14816b77a48
154a03d5001
hex2c90e9000

11963109376 has 39 divisors (see below), whose sum is σ = 23937304681. Its totient is φ = 5978054656.

The previous prime is 11963109349. The next prime is 11963109391. The reversal of 11963109376 is 67390136911.

The square root of 11963109376 is 109376.

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

It can be written as a sum of positive squares in only one way, i.e., 2249035776 + 9714073600 = 47424^2 + 98560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6999210 + ... + 7000918.

Almost surely, 211963109376 is an apocalyptic number.

11963109376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11963109376 is the 109376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11963109376

11963109376 is an abundant number, since it is smaller than the sum of its proper divisors (11974195305).

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

11963109376 is an frugal number, since it uses more digits than its factorization.

11963109376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 46.

The spelling of 11963109376 in words is "eleven billion, nine hundred sixty-three million, one hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1709 2048 3418 4096 6836 13672 27344 54688 109376 218752 437504 875008 1750016 2920681 3500032 5841362 7000064 11682724 23365448 46730896 93461792 186923584 373847168 747694336 1495388672 2990777344 5981554688 11963109376