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193324568112 = 243213838391483
BaseRepresentation
bin1011010000001100001…
…0101100111000110000
3200111000010021121110100
42310003002230320300
511131412042134422
6224451224232400
716652522500314
oct2640302547060
9614003247410
10193324568112
1174a96751445
123157400b700
13152cc336790
1494dd6d1b44
1550673bd7ac
hex2d030ace30

193324568112 has 240 divisors, whose sum is σ = 590779687680. Its totient is φ = 58658176512.

The previous prime is 193324568083. The next prime is 193324568117. The reversal of 193324568112 is 211865423391.

193324568112 is a `hidden beast` number, since 1 + 93 + 32 + 456 + 81 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (193324568117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130359723 + ... + 130361205.

It is an arithmetic number, because the mean of its divisors is an integer number (2461582032).

Almost surely, 2193324568112 is an apocalyptic number.

193324568112 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 193324568112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295389843840).

193324568112 is an abundant number, since it is smaller than the sum of its proper divisors (397455119568).

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

193324568112 is a wasteful number, since it uses less digits than its factorization.

193324568112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2423 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 193324568112 in words is "one hundred ninety-three billion, three hundred twenty-four million, five hundred sixty-eight thousand, one hundred twelve".