Search a number
-
+
995120741628 = 2233132292241269
BaseRepresentation
bin11100111101100011101…
…00010111110011111100
310112010120200020102022000
432132301310113303330
5112301001402213003
62041052511022300
7131616006511656
oct16366164276374
93463520212260
10995120741628
11354034796962
12140a3bb0a990
1372abb463600
14362424156d6
151ad432101a3
hexe7b1d17cfc

995120741628 has 432 divisors, whose sum is σ = 2916126813600. Its totient is φ = 293311549440.

The previous prime is 995120741627. The next prime is 995120741633. The reversal of 995120741628 is 826147021599.

It is a happy number.

995120741628 is a `hidden beast` number, since 9 + 9 + 5 + 1 + 2 + 0 + 7 + 4 + 1 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995120741627) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3699333478 + ... + 3699333746.

It is an arithmetic number, because the mean of its divisors is an integer number (6750293550).

Almost surely, 2995120741628 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 995120741628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458063406800).

995120741628 is an abundant number, since it is smaller than the sum of its proper divisors (1921006071972).

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

995120741628 is a wasteful number, since it uses less digits than its factorization.

995120741628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 995120741628 in words is "nine hundred ninety-five billion, one hundred twenty million, seven hundred forty-one thousand, six hundred twenty-eight".