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12393032976 = 243292772
BaseRepresentation
bin10111000101010111…
…01010110100010000
31011222200200022020100
423202223222310100
5200340104023401
65405425412400
7616053020322
oct134253526420
934880608210
1012393032976
11528a5a9115
12249a49a100
131226706c0c
14857ccb612
154c8009b86
hex2e2aead10

12393032976 has 45 divisors (see below), whose sum is σ = 34687018821. Its totient is φ = 4130565696.

The previous prime is 12393032957. The next prime is 12393032989. The reversal of 12393032976 is 67923039321.

The square root of 12393032976 is 111324.

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., 10148547600 + 2244485376 = 100740^2 + 47376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1331250 + ... + 1340526.

Almost surely, 212393032976 is an apocalyptic number.

12393032976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12393032976 is the 111324-th square number.

It is an amenable number.

12393032976 is an abundant number, since it is smaller than the sum of its proper divisors (22293985845).

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

12393032976 is an frugal number, since it uses more digits than its factorization.

12393032976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18568 (or 9282 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 12393032976 in words is "twelve billion, three hundred ninety-three million, thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9277 18554 27831 37108 55662 74216 83493 111324 148432 166986 222648 333972 445296 667944 1335888 86062729 172125458 258188187 344250916 516376374 688501832 774564561 1032752748 1377003664 1549129122 2065505496 3098258244 4131010992 6196516488 12393032976