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5151048804864 = 29324161744189
BaseRepresentation
bin100101011110101001001…
…1011110010101000000000
3200020102202110002110002100
41022331102123302220000
51133343321443223424
614542205324350400
71041102535263414
oct112752233625000
920212673073070
105151048804864
111706602843296
126b23839a5400
132b4984a0b001
1413b45254ad44
158decd422dc9
hex4af526f2a00

5151048804864 has 240 divisors, whose sum is σ = 15253895016360. Its totient is φ = 1672385003520.

The previous prime is 5151048804821. The next prime is 5151048804871. The reversal of 5151048804864 is 4684088401515.

5151048804864 is a `hidden beast` number, since 5 + 1 + 510 + 4 + 8 + 80 + 48 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 290822918400 + 4860225886464 = 539280^2 + 2204592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5151048804864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116546482 + ... + 116590670.

Almost surely, 25151048804864 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 5151048804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626947508180).

5151048804864 is an abundant number, since it is smaller than the sum of its proper divisors (10102846211496).

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

5151048804864 is a wasteful number, since it uses less digits than its factorization.

5151048804864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44871 (or 44852 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 5151048804864 in words is "five trillion, one hundred fifty-one billion, forty-eight million, eight hundred four thousand, eight hundred sixty-four".