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423321103296 = 263271329278489
BaseRepresentation
bin1100010100011111110…
…01110110101111000000
31111110122222100011111100
412022033321312233000
523413430200301141
6522245424214400
742404202002550
oct6121771665700
91443588304440
10423321103296
111535907aa493
126a06146a400
1330bc40a6950
14166bb599160
15b028ed50b6
hex628fe76bc0

423321103296 has 336 divisors, whose sum is σ = 1544884286400. Its totient is φ = 107794907136.

The previous prime is 423321103277. The next prime is 423321103297. The reversal of 423321103296 is 692301123324.

423321103296 is a `hidden beast` number, since 4 + 2 + 3 + 321 + 1 + 0 + 329 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 423321103296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423321103297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380820 + ... + 1659308.

It is an arithmetic number, because the mean of its divisors is an integer number (4597869900).

Almost surely, 2423321103296 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 423321103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772442143200).

423321103296 is an abundant number, since it is smaller than the sum of its proper divisors (1121563183104).

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

423321103296 is a wasteful number, since it uses less digits than its factorization.

423321103296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278556 (or 278543 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 423321103296 in words is "four hundred twenty-three billion, three hundred twenty-one million, one hundred three thousand, two hundred ninety-six".