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5232669679872 = 283317593172381
BaseRepresentation
bin100110000100101001101…
…1010101110000100000000
3200112020102202011111121000
41030021103122232010000
51141213001414223442
615043504423132000
71050022301260215
oct114112332560400
920466382144530
105232669679872
111738187689798
127061625a4000
132bc5918a735b
14141396691b0c
15911a8d65d4c
hex4c2536ae100

5232669679872 has 576 divisors, whose sum is σ = 16721434195200. Its totient is φ = 1608031272960.

The previous prime is 5232669679871. The next prime is 5232669679949. The reversal of 5232669679872 is 2789769662325.

It is a happy number.

5232669679872 is a `hidden beast` number, since 523 + 2 + 6 + 6 + 9 + 6 + 7 + 98 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5232669679872.

It is not an unprimeable number, because it can be changed into a prime (5232669679871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2197676122 + ... + 2197678502.

It is an arithmetic number, because the mean of its divisors is an integer number (29030267700).

Almost surely, 25232669679872 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 5232669679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360717097600).

5232669679872 is an abundant number, since it is smaller than the sum of its proper divisors (11488764515328).

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

5232669679872 is a wasteful number, since it uses less digits than its factorization.

5232669679872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2779 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 5232669679872 in words is "five trillion, two hundred thirty-two billion, six hundred sixty-nine million, six hundred seventy-nine thousand, eight hundred seventy-two".