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12431697984 = 263217323191
BaseRepresentation
bin10111001001111110…
…01010100001000000
31012002101102200122200
423210333022201000
5200430003313414
65413330233200
7620032455306
oct134477124100
935071380580
1012431697984
1152aa407772
1224ab425800
131231723c14
1485d0b4276
154cb5e6109
hex2e4fca840

12431697984 has 336 divisors, whose sum is σ = 39712757760. Its totient is φ = 3711037440.

The previous prime is 12431697983. The next prime is 12431698049. The reversal of 12431697984 is 48979613421.

12431697984 is a `hidden beast` number, since 1 + 2 + 431 + 69 + 79 + 84 = 666.

It is a super-2 number, since 2×124316979842 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12431697984.

It is not an unprimeable number, because it can be changed into a prime (12431697983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65087329 + ... + 65087519.

Almost surely, 212431697984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12431697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19856378880).

12431697984 is an abundant number, since it is smaller than the sum of its proper divisors (27281059776).

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

12431697984 is a wasteful number, since it uses less digits than its factorization.

12431697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 236 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 12431697984 in words is "twelve billion, four hundred thirty-one million, six hundred ninety-seven thousand, nine hundred eighty-four".