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12331896192 = 273571119271
BaseRepresentation
bin10110111110000100…
…11100110110000000
31011211102122020100000
423133002130312000
5200223431134232
65355403200000
7614411250060
oct133702346600
934742566300
1012331896192
115259041150
122481b16000
131216b4c6c5
1484db353a0
154c298027c
hex2df09cd80

12331896192 has 768 divisors, whose sum is σ = 48474316800. Its totient is φ = 3023308800.

The previous prime is 12331896191. The next prime is 12331896253. The reversal of 12331896192 is 29169813321.

It is a happy number.

12331896192 is a `hidden beast` number, since 1 + 23 + 3 + 1 + 8 + 9 + 619 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331896191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45505017 + ... + 45505287.

It is an arithmetic number, because the mean of its divisors is an integer number (63117600).

Almost surely, 212331896192 is an apocalyptic number.

12331896192 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 12331896192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24237158400).

12331896192 is an abundant number, since it is smaller than the sum of its proper divisors (36142420608).

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

12331896192 is a wasteful number, since it uses less digits than its factorization.

12331896192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 313 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 12331896192 in words is "twelve billion, three hundred thirty-one million, eight hundred ninety-six thousand, one hundred ninety-two".