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12922232976 = 243294732
BaseRepresentation
bin11000000100011100…
…11010000010010000
31020100120110110011100
430002032122002100
5202431042423401
65534132144400
7635140111422
oct140216320220
936316413140
1012922232976
115531299994
122607768100
1312ac243b03
148a82c4812
155096deb86
hex30239a090

12922232976 has 45 divisors (see below), whose sum is σ = 36168122809. Its totient is φ = 4306956288.

The previous prime is 12922232971. The next prime is 12922232977. The reversal of 12922232976 is 67923222921.

The square root of 12922232976 is 113676.

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., 12575379600 + 346853376 = 112140^2 + 18624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12922232971) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1359376 + ... + 1368848.

Almost surely, 212922232976 is an apocalyptic number.

12922232976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12922232976 is the 113676-th square number.

It is an amenable number.

12922232976 is an abundant number, since it is smaller than the sum of its proper divisors (23245889833).

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

12922232976 is an frugal number, since it uses more digits than its factorization.

12922232976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18960 (or 9478 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 12922232976 in words is "twelve billion, nine hundred twenty-two million, two hundred thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9473 18946 28419 37892 56838 75784 85257 113676 151568 170514 227352 341028 454704 682056 1364112 89737729 179475458 269213187 358950916 538426374 717901832 807639561 1076852748 1435803664 1615279122 2153705496 3230558244 4307410992 6461116488 12922232976