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103363606944 = 25321324151797
BaseRepresentation
bin110000001000011110…
…0110111100110100000
3100212210120212021112200
41200100330313212200
53143142040410234
6115252400453200
710316306106513
oct1402074674640
9325716767480
10103363606944
113a922074854
121804831a200
139993632700
145007a76d7a
152a4e6a3d99
hex1810f379a0

103363606944 has 216 divisors, whose sum is σ = 326059811532. Its totient is φ = 31027875840.

The previous prime is 103363606937. The next prime is 103363607041. The reversal of 103363606944 is 449606363301.

103363606944 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 636 + 0 + 6 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 207014544 + 103156592400 = 14388^2 + 321180^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103363606944.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1969654 + ... + 2021450.

Almost surely, 2103363606944 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 103363606944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163029905766).

103363606944 is an abundant number, since it is smaller than the sum of its proper divisors (222696204588).

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

103363606944 is a wasteful number, since it uses less digits than its factorization.

103363606944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51880 (or 51856 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 103363606944 in words is "one hundred three billion, three hundred sixty-three million, six hundred six thousand, nine hundred forty-four".