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12319233886872 = 233311193141534051
BaseRepresentation
bin1011001101000100101110…
…0011110100101010011000
31121121201002120221211011000
42303101023203310222120
53103314242333334442
642111213344105000
72411015046202653
oct263211343645230
947551076854130
1012319233886872
113a1a615404a80
12146b672605160
136b4911279433
1430837b37c89a
151656b8e68d4c
hexb344b8f4a98

12319233886872 has 1024 divisors, whose sum is σ = 42347225088000. Its totient is φ = 3275251200000.

The previous prime is 12319233886871. The next prime is 12319233886873. The reversal of 12319233886872 is 27868833291321.

12319233886872 is a `hidden beast` number, since 1 + 2 + 3 + 192 + 3 + 388 + 68 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12319233886871) and next prime (12319233886873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12319233886871) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3041033247 + ... + 3041037297.

It is an arithmetic number, because the mean of its divisors is an integer number (41354712000).

Almost surely, 212319233886872 is an apocalyptic number.

12319233886872 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 12319233886872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21173612544000).

12319233886872 is an abundant number, since it is smaller than the sum of its proper divisors (30027991201128).

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

12319233886872 is a wasteful number, since it uses less digits than its factorization.

12319233886872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4211 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 12319233886872 in words is "twelve trillion, three hundred nineteen billion, two hundred thirty-three million, eight hundred eighty-six thousand, eight hundred seventy-two".