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12789701496 = 233311131923137
BaseRepresentation
bin10111110100101001…
…10101101101111000
31020000100002011011000
423322110311231320
5202143130421441
65513035405000
7631640445315
oct137224655570
936010064130
1012789701496
1154734a9040
12258b2b3760
13128a950010
14894865d0c
154ecc612b6
hex2fa535b78

12789701496 has 768 divisors, whose sum is σ = 46700236800. Its totient is φ = 3191270400.

The previous prime is 12789701411. The next prime is 12789701501. The reversal of 12789701496 is 69410798721.

12789701496 is a `hidden beast` number, since 1 + 2 + 7 + 89 + 70 + 1 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 345667590 + ... + 345667626.

It is an arithmetic number, because the mean of its divisors is an integer number (60807600).

Almost surely, 212789701496 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 12789701496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350118400).

12789701496 is an abundant number, since it is smaller than the sum of its proper divisors (33910535304).

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

12789701496 is a wasteful number, since it uses less digits than its factorization.

12789701496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 12789701496 in words is "twelve billion, seven hundred eighty-nine million, seven hundred one thousand, four hundred ninety-six".