Search a number
-
+
3125558016 = 2834761353
BaseRepresentation
bin1011101001001100…
…0011101100000000
322001211021210120000
42322103003230000
522400120324031
61234051320000
7140311543020
oct27223035400
98054253500
103125558016
111364328aa9
127328b0000
133aa706219
1421916ba80
151345e63e6
hexba4c3b00

3125558016 has 360 divisors, whose sum is σ = 10856534304. Its totient is φ = 875888640.

The previous prime is 3125557979. The next prime is 3125558047. The reversal of 3125558016 is 6108555213.

It is a happy number.

3125558016 is a `hidden beast` number, since 3 + 12 + 55 + 580 + 16 = 666.

It is a super-2 number, since 2×31255580162 = 19538225822763712512, which contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 8854096 + ... + 8854448.

Almost surely, 23125558016 is an apocalyptic number.

3125558016 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 3125558016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428267152).

3125558016 is an abundant number, since it is smaller than the sum of its proper divisors (7730976288).

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

3125558016 is an equidigital number, since it uses as much as digits as its factorization.

3125558016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 3125558016 is about 55906.6902615420. The cubic root of 3125558016 is about 1462.0958851903.

The spelling of 3125558016 in words is "three billion, one hundred twenty-five million, five hundred fifty-eight thousand, sixteen".