Search a number
-
+
12496092401292 = 22316371318748239
BaseRepresentation
bin1011010111010111100100…
…1001100000111010001100
31122020121121011110020022220
42311311321021200322030
53114213444123320132
642324343043535340
72426545550601663
oct265657111407214
948217534406286
1012496092401292
113a8862142a585
1214999b008a550
136c84b80cbb76
14312b57c61dda
1516a0ba981a2c
hexb5d79260e8c

12496092401292 has 48 divisors (see below), whose sum is σ = 29178177799680. Its totient is φ = 4162417657792.

The previous prime is 12496092401263. The next prime is 12496092401321. The reversal of 12496092401292 is 29210429069421.

It is a happy number.

12496092401292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12496092401263) and next prime (12496092401321).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259021309 + ... + 259069547.

It is an arithmetic number, because the mean of its divisors is an integer number (607878704160).

Almost surely, 212496092401292 is an apocalyptic number.

12496092401292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12496092401292 is an abundant number, since it is smaller than the sum of its proper divisors (16682085398388).

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

12496092401292 is a wasteful number, since it uses less digits than its factorization.

12496092401292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63070 (or 63068 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 12496092401292 in words is "twelve trillion, four hundred ninety-six billion, ninety-two million, four hundred one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 1637 3274 4911 6548 9822 13187 19644 26374 39561 48239 52748 79122 96478 144717 158244 192956 289434 578868 21587119 43174238 64761357 78967243 86348476 129522714 157934486 236901729 259045428 315868972 473803458 636127693 947606916 1272255386 1908383079 2544510772 3816766158 7633532316 1041341033441 2082682066882 3124023100323 4165364133764 6248046200646 12496092401292