Search a number
-
+
5961000342528 = 2103371123532297
BaseRepresentation
bin101011010111110011101…
…0011101101010000000000
3210002212101100210200101000
41112233213103231100000
51240131112041430103
620402240141012000
71153445100615660
oct126574723552000
923085340720330
105961000342528
111999056321580
12803346b54000
133431736075ba
1416872a41c1a0
15a50d51edaa3
hex56be74ed400

5961000342528 has 1408 divisors, whose sum is σ = 23410144419840. Its totient is φ = 1452418007040.

The previous prime is 5961000342523. The next prime is 5961000342529. The reversal of 5961000342528 is 8252430001695.

5961000342528 is a `hidden beast` number, since 5 + 9 + 610 + 0 + 0 + 3 + 4 + 2 + 5 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5961000342523) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2595123076 + ... + 2595125372.

Almost surely, 25961000342528 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 5961000342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11705072209920).

5961000342528 is an abundant number, since it is smaller than the sum of its proper divisors (17449144077312).

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

5961000342528 is a wasteful number, since it uses less digits than its factorization.

5961000342528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5961000342528 in words is "five trillion, nine hundred sixty-one billion, three hundred forty-two thousand, five hundred twenty-eight".