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1041368445936 = 24327213172163241
BaseRepresentation
bin11110010011101100110…
…01010111001111110000
310200112221202110012220100
433021312121113033300
5114030210310232221
62114221551512400
7135144036512100
oct17116631271760
93615852405810
101041368445936
11371707380695
121499a8228700
137727b9cc410
143858c671200
151c14d45d926
hexf2766573f0

1041368445936 has 1080 divisors, whose sum is σ = 3918370760304. Its totient is φ = 255839109120.

The previous prime is 1041368445911. The next prime is 1041368445941. The reversal of 1041368445936 is 6395448631401.

It is a happy number.

1041368445936 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 3 + 6 + 8 + 44 + 593 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4321030776 + ... + 4321031016.

Almost surely, 21041368445936 is an apocalyptic number.

1041368445936 is a gapful number since it is divisible by the number (16) 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 1041368445936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959185380152).

1041368445936 is an abundant number, since it is smaller than the sum of its proper divisors (2877002314368).

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

1041368445936 is a wasteful number, since it uses less digits than its factorization.

1041368445936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1041368445936 in words is "one trillion, forty-one billion, three hundred sixty-eight million, four hundred forty-five thousand, nine hundred thirty-six".