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12136773792 = 25311131923179
BaseRepresentation
bin10110100110110100…
…00111100010100000
31011022211110222201110
423103122013202200
5144324003230132
65324153103320
7606521606103
oct132332074240
934284428643
1012136773792
11516898a870
1224286b7b40
1311b55b2570
14831c6273a
154b078b1cc
hex2d36878a0

12136773792 has 576 divisors, whose sum is σ = 41292840960. Its totient is φ = 3073075200.

The previous prime is 12136773767. The next prime is 12136773797. The reversal of 12136773792 is 29737763121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12136773797) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153630009 + ... + 153630087.

It is an arithmetic number, because the mean of its divisors is an integer number (71688960).

Almost surely, 212136773792 is an apocalyptic number.

12136773792 is a gapful number since it is divisible by the number (12) 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 12136773792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20646420480).

12136773792 is an abundant number, since it is smaller than the sum of its proper divisors (29156067168).

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

12136773792 is a wasteful number, since it uses less digits than its factorization.

12136773792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 158 counting only the distinct ones).

The product of its digits is 666792, while the sum is 48.

The spelling of 12136773792 in words is "twelve billion, one hundred thirty-six million, seven hundred seventy-three thousand, seven hundred ninety-two".