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23978035838232 = 2333732943259537
BaseRepresentation
bin1010111001110110100100…
…10011101111110100011000
310010220021111112201011221000
411130323102103233310120
511120324004133310412
6122555205123545000
75023233036522000
oct534732223576430
9103807445634830
1023978035838232
1177050341408a3
12283312b82b160
13104c1717c7938
145cc7864a9000
152b8acc9414dc
hex15ced24efd18

23978035838232 has 512 divisors, whose sum is σ = 82221638400000. Its totient is φ = 6460777064448.

The previous prime is 23978035838227. The next prime is 23978035838279. The reversal of 23978035838232 is 23283853087932.

23978035838232 is a `hidden beast` number, since 2 + 397 + 8 + 0 + 3 + 5 + 8 + 3 + 8 + 232 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23978035838232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92257968 + ... + 92517504.

It is an arithmetic number, because the mean of its divisors is an integer number (160589137500).

Almost surely, 223978035838232 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 23978035838232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41110819200000).

23978035838232 is an abundant number, since it is smaller than the sum of its proper divisors (58243602561768).

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

23978035838232 is a wasteful number, since it uses less digits than its factorization.

23978035838232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259645 (or 259621 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 23978035838232 in words is "twenty-three trillion, nine hundred seventy-eight billion, thirty-five million, eight hundred thirty-eight thousand, two hundred thirty-two".