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1046050879104 = 27357111094007
BaseRepresentation
bin11110011100011010111…
…11011011011010000000
310201000001002021110200000
433032031133123122000
5114114303011112404
62120314340400000
7135401054523540
oct17161537333200
93630032243600
101046050879104
1137369a4a5a70
1214a8943a6000
1377846b1c42a
14388b44a9320
151c324586339
hexf38d7db680

1046050879104 has 768 divisors, whose sum is σ = 3928558233600. Its totient is φ = 269141667840.

The previous prime is 1046050879099. The next prime is 1046050879117. The reversal of 1046050879104 is 4019780506401.

1046050879104 is a `hidden beast` number, since 1 + 0 + 4 + 60 + 508 + 79 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1046050879104.

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, 261053869 + ... + 261057875.

It is an arithmetic number, because the mean of its divisors is an integer number (5115310200).

Almost surely, 21046050879104 is an apocalyptic number.

1046050879104 is a gapful number since it is divisible by the number (14) 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 1046050879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964279116800).

1046050879104 is an abundant number, since it is smaller than the sum of its proper divisors (2882507354496).

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

1046050879104 is a wasteful number, since it uses less digits than its factorization.

1046050879104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1046050879104 in words is "one trillion, forty-six billion, fifty million, eight hundred seventy-nine thousand, one hundred four".