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12542987340 = 22325132432223
BaseRepresentation
bin10111010111001111…
…01100110001001100
31012101010211202221200
423223213230301030
5201142001043330
65432343425500
7622553430132
oct135347546114
935333752850
1012542987340
11535720a044
122520755290
13124b7bb100
1486dba3752
154d627aa60
hex2eb9ecc4c

12542987340 has 324 divisors, whose sum is σ = 42368429376. Its totient is φ = 3002178816.

The previous prime is 12542987333. The next prime is 12542987399. The reversal of 12542987340 is 4378924521.

12542987340 is a `hidden beast` number, since 1 + 254 + 298 + 73 + 40 = 666.

It is a super-2 number, since 2×125429873402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 56246469 + ... + 56246691.

Almost surely, 212542987340 is an apocalyptic number.

12542987340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12542987340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21184214688).

12542987340 is an abundant number, since it is smaller than the sum of its proper divisors (29825442036).

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

12542987340 is a wasteful number, since it uses less digits than its factorization.

12542987340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12542987340 in words is "twelve billion, five hundred forty-two million, nine hundred eighty-seven thousand, three hundred forty".