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423035256960 = 27335177319727
BaseRepresentation
bin1100010011111101101…
…11011100000010000000
31111102221001110200001000
412021332313130002000
523412334011210320
6522201213412000
742364131232401
oct6117667340200
91442831420030
10423035256960
11153454412948
1269ba179a000
1330b79ac31c4
141669162b9a8
15b00dd6ec90
hex627eddc080

423035256960 has 512 divisors, whose sum is σ = 1608194995200. Its totient is φ = 104713814016.

The previous prime is 423035256949. The next prime is 423035256979. The reversal of 423035256960 is 69652530324.

423035256960 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 3 + 525 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 21434617 + ... + 21454343.

It is an arithmetic number, because the mean of its divisors is an integer number (3141005850).

Almost surely, 2423035256960 is an apocalyptic number.

423035256960 is a gapful number since it is divisible by the number (40) 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 423035256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804097497600).

423035256960 is an abundant number, since it is smaller than the sum of its proper divisors (1185159738240).

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

423035256960 is a wasteful number, since it uses less digits than its factorization.

423035256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19845 (or 19827 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 423035256960 in words is "four hundred twenty-three billion, thirty-five million, two hundred fifty-six thousand, nine hundred sixty".