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12733898688 = 2632717375021
BaseRepresentation
bin10111101101111111…
…11101111111000000
31012212110002002002100
423312333331333000
5202034334224223
65503323350400
7630362232030
oct136677757700
935773062070
1012733898688
115444a54615
122574682400
13127c2125c4
1488b29b8c0
154e7ddc043
hex2f6ffdfc0

12733898688 has 336 divisors, whose sum is σ = 45370113984. Its totient is φ = 3331031040.

The previous prime is 12733898659. The next prime is 12733898699. The reversal of 12733898688 is 88689833721.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2533618 + ... + 2538638.

Almost surely, 212733898688 is an apocalyptic number.

12733898688 is a gapful number since it is divisible by the number (18) 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 12733898688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685056992).

12733898688 is an abundant number, since it is smaller than the sum of its proper divisors (32636215296).

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

12733898688 is a wasteful number, since it uses less digits than its factorization.

12733898688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5087 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 12733898688 in words is "twelve billion, seven hundred thirty-three million, eight hundred ninety-eight thousand, six hundred eighty-eight".