Search a number
-
+
6148700928 = 283647701
BaseRepresentation
bin1011011100111110…
…11011101100000000
3120212111212101000000
411232133123230000
5100043031412203
62454044000000
7305241044526
oct55637335400
916774771000
106148700928
112675866017
121237230000
1376cb31596
1442487a316
1525ec0c4a3
hex16e7dbb00

6148700928 has 252 divisors, whose sum is σ = 18819991008. Its totient is φ = 2003097600.

The previous prime is 6148700923. The next prime is 6148700953. The reversal of 6148700928 is 8290078416.

6148700928 is a `hidden beast` number, since 614 + 8 + 7 + 0 + 0 + 9 + 28 = 666.

It is a super-2 number, since 2×61487009282 = 75613046203976122368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6148700923) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8770978 + ... + 8771678.

It is an arithmetic number, because the mean of its divisors is an integer number (74682504).

Almost surely, 26148700928 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 6148700928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409995504).

6148700928 is an abundant number, since it is smaller than the sum of its proper divisors (12671290080).

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

6148700928 is an frugal number, since it uses more digits than its factorization.

6148700928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 6148700928 is about 78413.6526888016. The cubic root of 6148700928 is about 1832.0097887262.

The spelling of 6148700928 in words is "six billion, one hundred forty-eight million, seven hundred thousand, nine hundred twenty-eight".