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425390624100 = 223552132714969
BaseRepresentation
bin1100011000010110100…
…00011100110101100100
31111200000012111201100000
412030023100130311210
523432144444432400
6523231033221300
742506401434111
oct6141320346544
91450005451300
10425390624100
11154452a10062
126a53a561830
1331163a82680
141683638d908
15b0eaa2b600
hex630b41cd64

425390624100 has 432 divisors, whose sum is σ = 1494907930880. Its totient is φ = 104304153600.

The previous prime is 425390624069. The next prime is 425390624143. The reversal of 425390624100 is 1426093524.

It is a happy number.

425390624100 is a `hidden beast` number, since 4 + 25 + 3 + 9 + 0 + 624 + 1 + 0 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 85606416 + ... + 85611384.

Almost surely, 2425390624100 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 425390624100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747453965440).

425390624100 is an abundant number, since it is smaller than the sum of its proper divisors (1069517306780).

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

425390624100 is a wasteful number, since it uses less digits than its factorization.

425390624100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 425390624100 in words is "four hundred twenty-five billion, three hundred ninety million, six hundred twenty-four thousand, one hundred".