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2052622072368 = 2432713722765479
BaseRepresentation
bin11101110111101001110…
…011110011101000110000
321021020011202120002200100
4131313221303303220300
5232112232222303433
64210543410352400
7301203613511460
oct35675163635060
97236152502610
102052622072368
1172156a71469a
1229198ab8b700
1311b73b6047ba
14714c1529ba0
15385d7b62b13
hex1dde9cf3a30

2052622072368 has 240 divisors, whose sum is σ = 6642287009280. Its totient is φ = 579609160704.

The previous prime is 2052622072357. The next prime is 2052622072379. The reversal of 2052622072368 is 8632702262502.

It is a happy number.

2052622072368 is a `hidden beast` number, since 2 + 0 + 5 + 262 + 20 + 7 + 2 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (2052622072357) and next prime (2052622072379).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31315053 + ... + 31380531.

It is an arithmetic number, because the mean of its divisors is an integer number (27676195872).

Almost surely, 22052622072368 is an apocalyptic number.

2052622072368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052622072368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321143504640).

2052622072368 is an abundant number, since it is smaller than the sum of its proper divisors (4589664936912).

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

2052622072368 is a wasteful number, since it uses less digits than its factorization.

2052622072368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65864 (or 65855 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2052622072368 in words is "two trillion, fifty-two billion, six hundred twenty-two million, seventy-two thousand, three hundred sixty-eight".