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5028000606720 = 293257213219273
BaseRepresentation
bin100100100101010110000…
…1100001010101000000000
3122210200011000012022211100
41021022230030022220000
51124334321123403340
614405455342414400
71026155353664100
oct111125414125000
918720130168740
105028000606720
1116693aa298853
12692563291400
132a61a5165200
141354dc453200
158abcaa57830
hex492ac30aa00

5028000606720 has 3240 divisors, whose sum is σ = 23466746247516. Its totient is φ = 991251136512.

The previous prime is 5028000606719. The next prime is 5028000606721. The reversal of 5028000606720 is 276060008205.

5028000606720 is a `hidden beast` number, since 5 + 0 + 28 + 0 + 0 + 0 + 606 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5028000606719) and next prime (5028000606721).

It can be written as a sum of positive squares in 6 ways, for example, as 616589293824 + 4411411312896 = 785232^2 + 2100336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5028000606721) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 68876720604 + ... + 68876720676.

Almost surely, 25028000606720 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 5028000606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733373123758).

5028000606720 is an abundant number, since it is smaller than the sum of its proper divisors (18438745640796).

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

5028000606720 is a wasteful number, since it uses less digits than its factorization.

5028000606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 5028000606720 in words is "five trillion, twenty-eight billion, six hundred six thousand, seven hundred twenty".