Search a number
-
+
15930671616 = 293229971229
BaseRepresentation
bin11101101011000101…
…01100001000000000
31112010020100222010200
432311202230020000
5230111222442431
611152441325200
71102530321516
oct166542541000
945106328120
1015930671616
1168354a3412
123107196800
13166b5c1312
14ab1a864b6
1563389dee6
hex3b58ac200

15930671616 has 240 divisors, whose sum is σ = 48091843800. Its totient is φ = 5070127104.

The previous prime is 15930671599. The next prime is 15930671621. The reversal of 15930671616 is 61617603951.

It can be written as a sum of positive squares in 4 ways, for example, as 15851817216 + 78854400 = 125904^2 + 8880^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12961690 + ... + 12962918.

Almost surely, 215930671616 is an apocalyptic number.

15930671616 is a gapful number since it is divisible by the number (16) 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 15930671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24045921900).

15930671616 is an abundant number, since it is smaller than the sum of its proper divisors (32161172184).

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

15930671616 is a wasteful number, since it uses less digits than its factorization.

15930671616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 15930671616 in words is "fifteen billion, nine hundred thirty million, six hundred seventy-one thousand, six hundred sixteen".