Search a number
-
+
642614454612 = 2233131314018713
BaseRepresentation
bin10010101100111101100…
…11100110100101010100
32021102200220110122111000
421112132303212211110
541012033300021422
61211114001543300
764266404511324
oct11263663464524
92242626418430
10642614454612
1122859311a029
12a4662344b30
13487a1574020
1423161b77284
1511ab113ccac
hex959ece6954

642614454612 has 192 divisors, whose sum is σ = 1812606808320. Its totient is φ = 195706368000.

The previous prime is 642614454611. The next prime is 642614454649. The reversal of 642614454612 is 216454416246.

642614454612 is a `hidden beast` number, since 6 + 4 + 2 + 61 + 44 + 546 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642614454611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73749168 + ... + 73757880.

It is an arithmetic number, because the mean of its divisors is an integer number (9440660460).

Almost surely, 2642614454612 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 642614454612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906303404160).

642614454612 is an abundant number, since it is smaller than the sum of its proper divisors (1169992353708).

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

642614454612 is a wasteful number, since it uses less digits than its factorization.

642614454612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9271 (or 9263 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 642614454612 in words is "six hundred forty-two billion, six hundred fourteen million, four hundred fifty-four thousand, six hundred twelve".