Search a number
-
+
68420669625 = 34537111931149
BaseRepresentation
bin111111101110001100…
…001001000010111001
320112121100120010220000
4333232030021002321
52110111142412000
651233152223213
74641346044630
oct775614110271
9215540503800
1068420669625
1127020758860
1211315b3ab09
1365b519aa39
143450d82517
151ba6b46000
hexfee3090b9

68420669625 has 640 divisors, whose sum is σ = 173961216000. Its totient is φ = 25894080000.

The previous prime is 68420669617. The next prime is 68420669633. The reversal of 68420669625 is 52696602486.

It is a happy number.

68420669625 is a `hidden beast` number, since 6 + 8 + 4 + 2 + 0 + 6 + 6 + 9 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (68420669617) and next prime (68420669633).

It is not a de Polignac number, because 68420669625 - 23 = 68420669617 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 459199051 + ... + 459199199.

It is an arithmetic number, because the mean of its divisors is an integer number (271814400).

Almost surely, 268420669625 is an apocalyptic number.

It is an amenable number.

68420669625 is an abundant number, since it is smaller than the sum of its proper divisors (105540546375).

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

68420669625 is a wasteful number, since it uses less digits than its factorization.

68420669625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 68420669625 in words is "sixty-eight billion, four hundred twenty million, six hundred sixty-nine thousand, six hundred twenty-five".