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423342097920 = 2933571018663
BaseRepresentation
bin1100010100100010010…
…01111100011000000000
31111110201102211210201000
412022101021330120000
523414001034113140
6522251454212000
742404545313430
oct6122111743000
91443642753630
10423342097920
111535a163a015
126a0684b4000
1330bc85479c1
14166c02a22c0
15b02ac80a30
hex629127c600

423342097920 has 640 divisors, whose sum is σ = 1735783188480. Its totient is φ = 95794790400.

The previous prime is 423342097903. The next prime is 423342097939. The reversal of 423342097920 is 29790243324.

423342097920 is a `hidden beast` number, since 42 + 334 + 209 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

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, 48863509 + ... + 48872171.

It is an arithmetic number, because the mean of its divisors is an integer number (2712161232).

Almost surely, 2423342097920 is an apocalyptic number.

423342097920 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 423342097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867891594240).

423342097920 is an abundant number, since it is smaller than the sum of its proper divisors (1312441090560).

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

423342097920 is a wasteful number, since it uses less digits than its factorization.

423342097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8803 (or 8781 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 423342097920 in words is "four hundred twenty-three billion, three hundred forty-two million, ninety-seven thousand, nine hundred twenty".