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12008641034676 = 2231113241271110711
BaseRepresentation
bin1010111010111111101011…
…0010000111100110110100
31120112000101211201010221210
42232233322302013212310
53033222144101102201
641312405445241420
72346411214416306
oct256577262074664
946460354633853
1012008641034676
11390a921888080
12141b431703270
13691543998060
142d7315471976
1515c58b8421d6
hexaebfac879b4

12008641034676 has 192 divisors, whose sum is σ = 33070665019392. Its totient is φ = 3343576320000.

The previous prime is 12008641034659. The next prime is 12008641034681. The reversal of 12008641034676 is 67643014680021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121144961 + ... + 1121155671.

It is an arithmetic number, because the mean of its divisors is an integer number (172243046976).

Almost surely, 212008641034676 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 12008641034676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16535332509696).

12008641034676 is an abundant number, since it is smaller than the sum of its proper divisors (21062023984716).

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

12008641034676 is a wasteful number, since it uses less digits than its factorization.

12008641034676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13694 (or 13692 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 12008641034676 in words is "twelve trillion, eight billion, six hundred forty-one million, thirty-four thousand, six hundred seventy-six".