Search a number
-
+
3115946016 = 253373127389
BaseRepresentation
bin1011100110111001…
…1001000000100000
322001011012110101000
42321232121000200
522340140233031
61233105312000
7140134050501
oct27156310040
98034173330
103115946016
1113599633a7
1272b635600
133a871c151
14217b88ba8
151338483e6
hexb9b99020

3115946016 has 192 divisors, whose sum is σ = 9309081600. Its totient is φ = 1013741568.

The previous prime is 3115946011. The next prime is 3115946017. The reversal of 3115946016 is 6106495113.

3115946016 is a `hidden beast` number, since 3 + 1 + 1 + 594 + 60 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3115946011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8009950 + ... + 8010338.

It is an arithmetic number, because the mean of its divisors is an integer number (48484800).

Almost surely, 23115946016 is an apocalyptic number.

3115946016 is a gapful number since it is divisible by the number (36) 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 3115946016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654540800).

3115946016 is an abundant number, since it is smaller than the sum of its proper divisors (6193135584).

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

3115946016 is a wasteful number, since it uses less digits than its factorization.

3115946016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3115946016 is about 55820.6594013363. The cubic root of 3115946016 is about 1460.5955561174.

The spelling of 3115946016 in words is "three billion, one hundred fifteen million, nine hundred forty-six thousand, sixteen".