Search a number
-
+
642748315212 = 223367711279851
BaseRepresentation
bin10010101101001101100…
…10001111011001001100
32021110001020100110201000
421112212302033121030
541012322032041322
61211135143020300
764302621351423
oct11264662173114
92243036313630
10642748315212
11228651738523
12a469b13a690
13487c3211a93
14231758602ba
1511abcc803ac
hex95a6c8f64c

642748315212 has 192 divisors, whose sum is σ = 1728756449280. Its totient is φ = 206419752000.

The previous prime is 642748315147. The next prime is 642748315249. The reversal of 642748315212 is 212513847246.

642748315212 is a `hidden beast` number, since 6 + 4 + 2 + 7 + 483 + 152 + 12 = 666.

642748315212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65242087 + ... + 65251937.

It is an arithmetic number, because the mean of its divisors is an integer number (9003939840).

Almost surely, 2642748315212 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 642748315212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864378224640).

642748315212 is an abundant number, since it is smaller than the sum of its proper divisors (1086008134068).

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

642748315212 is a wasteful number, since it uses less digits than its factorization.

642748315212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10129 (or 10121 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 642748315212 in words is "six hundred forty-two billion, seven hundred forty-eight million, three hundred fifteen thousand, two hundred twelve".