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12052174797432 = 233272112434191567
BaseRepresentation
bin1010111101100001110110…
…0110001111101001111000
31120200011202210011102122100
42233120131212033221320
53034430323222004212
641344405341023400
72352512061326400
oct257303546175170
946604683142570
1012052174797432
113927331523400
121427960b54b60
13695690ba87a3
142d94850a9800
1515d7886a4bdc
hexaf61d98fa78

12052174797432 has 864 divisors, whose sum is σ = 42836022028800. Its totient is φ = 3048390132480.

The previous prime is 12052174797419. The next prime is 12052174797449. The reversal of 12052174797432 is 23479747125021.

12052174797432 is a `hidden beast` number, since 1 + 2 + 0 + 52 + 1 + 74 + 7 + 97 + 432 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7691240313 + ... + 7691241879.

It is an arithmetic number, because the mean of its divisors is an integer number (49578729200).

Almost surely, 212052174797432 is an apocalyptic number.

12052174797432 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 12052174797432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21418011014400).

12052174797432 is an abundant number, since it is smaller than the sum of its proper divisors (30783847231368).

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

12052174797432 is a wasteful number, since it uses less digits than its factorization.

12052174797432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 12052174797432 in words is "twelve trillion, fifty-two billion, one hundred seventy-four million, seven hundred ninety-seven thousand, four hundred thirty-two".