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12015160253096 = 237211133112754443
BaseRepresentation
bin1010111011010111111101…
…0110111101101010101000
31120112122020011202202101212
42232311333112331222220
53033324022011044341
641315404410532252
72350031605024100
oct256657726755250
946478204682355
1012015160253096
1139126678013a0
121420750a37088
136920424b7650
142d77731da200
1515c81dd3c5eb
hexaed7f5bdaa8

12015160253096 has 384 divisors, whose sum is σ = 32032096911360. Its totient is φ = 4148741721600.

The previous prime is 12015160253087. The next prime is 12015160253101. The reversal of 12015160253096 is 69035206151021.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220665251 + ... + 220719693.

It is an arithmetic number, because the mean of its divisors is an integer number (83416919040).

Almost surely, 212015160253096 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 12015160253096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016048455680).

12015160253096 is an abundant number, since it is smaller than the sum of its proper divisors (20016936658264).

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

12015160253096 is a wasteful number, since it uses less digits than its factorization.

12015160253096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54645 (or 54634 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 41.

The spelling of 12015160253096 in words is "twelve trillion, fifteen billion, one hundred sixty million, two hundred fifty-three thousand, ninety-six".