Search a number
-
+
6156530640 = 24325132937613
BaseRepresentation
bin1011011101111010…
…10011001111010000
3120220001121011100100
411232331103033100
5100102032440030
62454523452400
7305364434631
oct55675231720
916801534310
106156530640
11267a223657
121239987100
13771643350
14425917888
15260757360
hex16ef533d0

6156530640 has 480 divisors, whose sum is σ = 23695045920. Its totient is φ = 1421328384.

The previous prime is 6156530621. The next prime is 6156530641. The reversal of 6156530640 is 460356516.

6156530640 is a `hidden beast` number, since 6 + 1 + 5 + 6 + 5 + 3 + 0 + 640 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3065615424 + 3090915216 = 55368^2 + 55596^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6156530595 and 6156530604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6156530641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10042974 + ... + 10043586.

It is an arithmetic number, because the mean of its divisors is an integer number (49364679).

Almost surely, 26156530640 is an apocalyptic number.

6156530640 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 6156530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847522960).

6156530640 is an abundant number, since it is smaller than the sum of its proper divisors (17538515280).

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

6156530640 is a wasteful number, since it uses less digits than its factorization.

6156530640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6156530640 is about 78463.5624987803. The cubic root of 6156530640 is about 1832.7870816285.

The spelling of 6156530640 in words is "six billion, one hundred fifty-six million, five hundred thirty thousand, six hundred forty".