Search a number
-
+
6130896866640 = 24335713131238099
BaseRepresentation
bin101100100110111010111…
…1011100000110101010000
3210201002220202002100021000
41121031311323200311100
51300422034044213030
621012254541102000
71201641224344110
oct131156573406520
923632822070230
106130896866640
111a5410a4a3787
12830260b57900
133561aaca1a40
14172a4643b040
15a972a909860
hex59375ee0d50

6130896866640 has 640 divisors, whose sum is σ = 26189323776000. Its totient is φ = 1283672033280.

The previous prime is 6130896866621. The next prime is 6130896866641. The reversal of 6130896866640 is 466686980316.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6130896866641) 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, 25630311 + ... + 25868409.

It is an arithmetic number, because the mean of its divisors is an integer number (40920818400).

Almost surely, 26130896866640 is an apocalyptic number.

6130896866640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6130896866640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094661888000).

6130896866640 is an abundant number, since it is smaller than the sum of its proper divisors (20058426909360).

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

6130896866640 is a wasteful number, since it uses less digits than its factorization.

6130896866640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238272 (or 238260 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 6130896866640 in words is "six trillion, one hundred thirty billion, eight hundred ninety-six million, eight hundred sixty-six thousand, six hundred forty".