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12198731606152 = 23721325743121611
BaseRepresentation
bin1011000110000011110100…
…0100000110100010001000
31121012012001120122201000221
42301200331010012202020
53044331000242344102
641540004150035424
72366220640544200
oct261407504064210
947165046581027
1012198731606152
1139834a8a75a23
121450242648b74
136a6448cbbb50
143025c9449400
151624b4d49637
hexb183d106888

12198731606152 has 192 divisors, whose sum is σ = 28833181251840. Its totient is φ = 4795718860800.

The previous prime is 12198731606071. The next prime is 12198731606161. The reversal of 12198731606152 is 25160613789121.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 12198731606152.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564457827 + ... + 564479437.

It is an arithmetic number, because the mean of its divisors is an integer number (150172819020).

Almost surely, 212198731606152 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 12198731606152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14416590625920).

12198731606152 is an abundant number, since it is smaller than the sum of its proper divisors (16634449645688).

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

12198731606152 is a wasteful number, since it uses less digits than its factorization.

12198731606152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22332 (or 22321 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 12198731606152 in words is "twelve trillion, one hundred ninety-eight billion, seven hundred thirty-one million, six hundred six thousand, one hundred fifty-two".