Search a number
-
+
6132640248 = 2334717671187
BaseRepresentation
bin1011011011000100…
…01010100111111000
3120211101122101220000
411231202022213320
5100024423441443
62452311433000
7304654403430
oct55542124770
916741571800
106132640248
112667796429
121231985760
137696ca217
144226992c0
1525d5d88d3
hex16d88a9f8

6132640248 has 320 divisors, whose sum is σ = 21113706240. Its totient is φ = 1623131136.

The previous prime is 6132640223. The next prime is 6132640249. The reversal of 6132640248 is 8420462316.

6132640248 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 640 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×61326402482 = 75218552822779003008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6132640249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5165911 + ... + 5167097.

It is an arithmetic number, because the mean of its divisors is an integer number (65980332).

Almost surely, 26132640248 is an apocalyptic number.

6132640248 is a gapful number since it is divisible by the number (68) 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 6132640248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10556853120).

6132640248 is an abundant number, since it is smaller than the sum of its proper divisors (14981065992).

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

6132640248 is a wasteful number, since it uses less digits than its factorization.

6132640248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6132640248 is about 78311.1757541668. The cubic root of 6132640248 is about 1830.4133008989.

The spelling of 6132640248 in words is "six billion, one hundred thirty-two million, six hundred forty thousand, two hundred forty-eight".