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12902233744 = 247323892
BaseRepresentation
bin11000000010000100…
…00111011010010000
31020022011211101101001
430001002013122100
5202410432434434
65532135351344
7634505114551
oct140102073220
936264741331
1012902233744
115520a7a1a4
122600b22554
1312a8060b4a
148a579a328
15507a8e114
hex301087690

12902233744 has 45 divisors (see below), whose sum is σ = 25410530523. Its totient is φ = 6346388736.

The previous prime is 12902233741. The next prime is 12902233783. The reversal of 12902233744 is 44733220921.

It is a happy number.

The square root of 12902233744 is 113588.

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

It can be written as a sum of positive squares in 4 ways, for example, as 561690000 + 12340543744 = 23700^2 + 111088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12902233741) 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, 33167502 + ... + 33167890.

Almost surely, 212902233744 is an apocalyptic number.

12902233744 is the 113588-th square number.

It is an amenable number.

12902233744 is a deficient number, since it is larger than the sum of its proper divisors (12508296779).

12902233744 is an frugal number, since it uses more digits than its factorization.

12902233744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 12902233744 in words is "twelve billion, nine hundred two million, two hundred thirty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 73 146 292 389 584 778 1168 1556 3112 5329 6224 10658 21316 28397 42632 56794 85264 113588 151321 227176 302642 454352 605284 1210568 2072981 2421136 4145962 8291924 11046433 16583848 22092866 33167696 44185732 88371464 176742928 806389609 1612779218 3225558436 6451116872 12902233744