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12379677696 = 21032192612
BaseRepresentation
bin10111000011110001…
…01110010000000000
31011221202112210020100
423201320232100000
5200323144141241
65404231242400
7615531344541
oct134170562000
934852483210
1012379677696
1152830070a1
122495b19400
131223a0c099
148562124c8
154c6c6c9b6
hex2e1e2e400

12379677696 has 297 divisors, whose sum is σ = 38355046353. Its totient is φ = 3845283840.

The previous prime is 12379677691. The next prime is 12379677697. The reversal of 12379677696 is 69677697321.

The square root of 12379677696 is 111264.

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., 402564096 + 11977113600 = 20064^2 + 109440^2 .

It is not an unprimeable number, because it can be changed into a prime (12379677691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 202945506 + ... + 202945566.

Almost surely, 212379677696 is an apocalyptic number.

12379677696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12379677696 is the 111264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12379677696

12379677696 is an abundant number, since it is smaller than the sum of its proper divisors (25975368657).

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

12379677696 is an equidigital number, since it uses as much as digits as its factorization.

12379677696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 85 counting only the distinct ones).

The product of its digits is 36006768, while the sum is 63.

The spelling of 12379677696 in words is "twelve billion, three hundred seventy-nine million, six hundred seventy-seven thousand, six hundred ninety-six".