Search a number
-
+
6115243680 = 25325713232029
BaseRepresentation
bin1011011000111111…
…10011011010100000
3120210011220120021200
411230133303122200
5100011000244210
62450450521200
7304353466530
oct55437633240
916704816250
106115243680
1126589940a7
121227b96200
13765c18ab0
1442024b4c0
1525bcee0c0
hex16c7f36a0

6115243680 has 576 divisors, whose sum is σ = 26813928960. Its totient is φ = 1233543168.

The previous prime is 6115243669. The next prime is 6115243691. The reversal of 6115243680 is 863425116.

It is a happy number.

6115243680 is a `hidden beast` number, since 611 + 5 + 2 + 4 + 36 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6115243669) and next prime (6115243691).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3012906 + ... + 3014934.

It is an arithmetic number, because the mean of its divisors is an integer number (46551960).

Almost surely, 26115243680 is an apocalyptic number.

6115243680 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 6115243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406964480).

6115243680 is an abundant number, since it is smaller than the sum of its proper divisors (20698685280).

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

6115243680 is a wasteful number, since it uses less digits than its factorization.

6115243680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6115243680 is about 78200.0235294082. The cubic root of 6115243680 is about 1828.6808732391.

Adding to 6115243680 its reverse (863425116), we get a palindrome (6978668796).

The spelling of 6115243680 in words is "six billion, one hundred fifteen million, two hundred forty-three thousand, six hundred eighty".