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232542091593756 = 223778634400317
BaseRepresentation
bin110100110111111011101100…
…110000111100100000011100
31010111100210210012010220000000
4310313323230300330200130
5220434432200422000011
62142324210113534300
766660416545025310
oct6467735460744034
91114323705126000
10232542091593756
1168105602387aaa
12220b826bb74390
139c9a818599349
14415d150d4db40
151bd3e47db7356
hexd37eecc3c81c

232542091593756 has 192 divisors, whose sum is σ = 698328354447360. Its totient is φ = 66363594570432.

The previous prime is 232542091593731. The next prime is 232542091593767. The reversal of 232542091593756 is 657395190245232.

232542091593756 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 4 + 209 + 1 + 59 + 375 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 232542091593693 and 232542091593702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50646510 + ... + 55046826.

It is an arithmetic number, because the mean of its divisors is an integer number (3637126846080).

Almost surely, 2232542091593756 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 232542091593756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349164177223680).

232542091593756 is an abundant number, since it is smaller than the sum of its proper divisors (465786262853604).

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

232542091593756 is an equidigital number, since it uses as much as digits as its factorization.

232542091593756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401212 (or 4401192 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 232542091593756 in words is "two hundred thirty-two trillion, five hundred forty-two billion, ninety-one million, five hundred ninety-three thousand, seven hundred fifty-six".