Search a number
-
+
3150772128 = 253372193917
BaseRepresentation
bin1011101111001100…
…1111011110100000
322010120201210211000
42323303033132200
522423044202003
61240351552000
7141036056400
oct27363173640
98116653730
103150772128
11137758a809
1273b22b600
133b29c3a0a
1421c652800
151369271a3
hexbbccf7a0

3150772128 has 288 divisors, whose sum is σ = 11255630400. Its totient is φ = 852622848.

The previous prime is 3150772117. The next prime is 3150772159. The reversal of 3150772128 is 8212770513.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 3150772092 and 3150772101.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 802426 + ... + 806342.

It is an arithmetic number, because the mean of its divisors is an integer number (39082050).

Almost surely, 23150772128 is an apocalyptic number.

3150772128 is a gapful number since it is divisible by the number (38) 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 3150772128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627815200).

3150772128 is an abundant number, since it is smaller than the sum of its proper divisors (8104858272).

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

3150772128 is a wasteful number, since it uses less digits than its factorization.

3150772128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 3150772128 is about 56131.7390430762. The cubic root of 3150772128 is about 1466.0169726679.

The spelling of 3150772128 in words is "three billion, one hundred fifty million, seven hundred seventy-two thousand, one hundred twenty-eight".