Search a number
-
+
630064334592 = 28357211192343
BaseRepresentation
bin10010010101100101100…
…00101100011100000000
32020020022021012111100000
421022302300230130000
540310332432201332
61201240401200000
763343403323200
oct11126260543400
92206267174300
10630064334592
11223232989110
12a213b330000
13475514594c4
14226d1078400
15115c9453b7c
hex92b2c2c700

630064334592 has 2592 divisors, whose sum is σ = 2687028664320. Its totient is φ = 144850083840.

The previous prime is 630064334531. The next prime is 630064334597. The reversal of 630064334592 is 295433460036.

630064334592 is a `hidden beast` number, since 6 + 300 + 6 + 4 + 334 + 5 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630064334597) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14652658923 + ... + 14652658965.

Almost surely, 2630064334592 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 630064334592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343514332160).

630064334592 is an abundant number, since it is smaller than the sum of its proper divisors (2056964329728).

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

630064334592 is a wasteful number, since it uses less digits than its factorization.

630064334592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 630064334592 in words is "six hundred thirty billion, sixty-four million, three hundred thirty-four thousand, five hundred ninety-two".