Search a number
-
+
607090856828320 = 255313760719972729
BaseRepresentation
bin1000101000001001010101101…
…0110111100001110110100000
32221121112022121122000020201001
42022002111122313201312200
51114033034033322001240
65551101404531121344
7241605603242644564
oct21202253267416640
92847468548006631
10607090856828320
1116648a871943157
125810a337743254
1320099564616817
14a9cb4d60c16a4
154a2bc5e09889a
hex228255ade1da0

607090856828320 has 384 divisors, whose sum is σ = 1524358388367360. Its totient is φ = 228076876431360.

The previous prime is 607090856828299. The next prime is 607090856828333. The reversal of 607090856828320 is 23828658090706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222459088716 + ... + 222459091444.

It is an arithmetic number, because the mean of its divisors is an integer number (3969683303040).

Almost surely, 2607090856828320 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 607090856828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762179194183680).

607090856828320 is an abundant number, since it is smaller than the sum of its proper divisors (917267531539040).

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

607090856828320 is a wasteful number, since it uses less digits than its factorization.

607090856828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 607090856828320 in words is "six hundred seven trillion, ninety billion, eight hundred fifty-six million, eight hundred twenty-eight thousand, three hundred twenty".