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423017925120 = 2934572173179
BaseRepresentation
bin1100010011111011101…
…01010100101000000000
31111102212211212010020000
412021331311110220000
523412320042100440
6522155354120000
742363531015300
oct6117565245000
91442784763200
10423017925120
1115344565520a
1269b97a20000
1330b7633538b
141668d1d9600
15b00c599730
hex627dd54a00

423017925120 has 2400 divisors, whose sum is σ = 1950740858880. Its totient is φ = 86951854080.

The previous prime is 423017925107. The next prime is 423017925139. The reversal of 423017925120 is 21529710324.

423017925120 is a `hidden beast` number, since 4 + 230 + 179 + 251 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5354657241 + ... + 5354657319.

Almost surely, 2423017925120 is an apocalyptic number.

423017925120 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 423017925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975370429440).

423017925120 is an abundant number, since it is smaller than the sum of its proper divisors (1527722933760).

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

423017925120 is a wasteful number, since it uses less digits than its factorization.

423017925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 423017925120 in words is "four hundred twenty-three billion, seventeen million, nine hundred twenty-five thousand, one hundred twenty".