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323429266704768 = 27372931462128087
BaseRepresentation
bin100100110001010000011111…
…0100011010100100110000000
31120102011112110200201101101020
41021202200332203110212000
5314343031114234023033
63103513204241105440
7125060664510533010
oct11142407643244600
91512145420641336
10323429266704768
11940666442a9044
1230336913028280
1310b61331022963
1459c20baa33c40
15275d20ddad6b3
hex126283e8d4980

323429266704768 has 256 divisors, whose sum is σ = 985292291773440. Its totient is φ = 92083397713920.

The previous prime is 323429266704751. The next prime is 323429266704799. The reversal of 323429266704768 is 867407662924323.

It is a super-2 number, since 2×3234292667047682 (a number of 30 digits) contains 22 as substring.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 11515251621 + ... + 11515279707.

It is an arithmetic number, because the mean of its divisors is an integer number (3848798014740).

Almost surely, 2323429266704768 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 323429266704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492646145886720).

323429266704768 is an abundant number, since it is smaller than the sum of its proper divisors (661863025068672).

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

323429266704768 is a wasteful number, since it uses less digits than its factorization.

323429266704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43025 (or 43013 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 69.

The spelling of 323429266704768 in words is "three hundred twenty-three trillion, four hundred twenty-nine billion, two hundred sixty-six million, seven hundred four thousand, seven hundred sixty-eight".