Search a number
-
+
5612931072 = 21133717853
BaseRepresentation
bin1010011101000111…
…01000100000000000
3112111011201102221000
411032203220200000
542443402243242
62324544332000
7256044061350
oct51643504000
915434642830
105612931072
112420398211
121107914000
136b5b341b8
143b3652b60
1522cb7aa4c
hex14e8e8800

5612931072 has 384 divisors, whose sum is σ = 20143468800. Its totient is φ = 1507590144.

The previous prime is 5612931029. The next prime is 5612931127. The reversal of 5612931072 is 2701392165.

5612931072 is a `hidden beast` number, since 5 + 612 + 9 + 31 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6579798 + ... + 6580650.

It is an arithmetic number, because the mean of its divisors is an integer number (52456950).

Almost surely, 25612931072 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 5612931072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10071734400).

5612931072 is an abundant number, since it is smaller than the sum of its proper divisors (14530537728).

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

5612931072 is a wasteful number, since it uses less digits than its factorization.

5612931072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5612931072 is about 74919.4972754089. The cubic root of 5612931072 is about 1777.1738040173.

The spelling of 5612931072 in words is "five billion, six hundred twelve million, nine hundred thirty-one thousand, seventy-two".