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425299875840 = 211325729127179
BaseRepresentation
bin1100011000001011101…
…10010001100000000000
31111122202212202020010100
412030011312101200000
523432003232011330
6523214032202400
742504220203660
oct6140566214000
91448685666110
10425299875840
111544067685a4
126a514099400
133114b02ac88
14168282ca1a0
15b0e2aa3060
hex6305d91800

425299875840 has 1152 divisors, whose sum is σ = 1766209536000. Its totient is φ = 92600008704.

The previous prime is 425299875839. The next prime is 425299875859. The reversal of 425299875840 is 48578992524.

425299875840 is a `hidden beast` number, since 4 + 25 + 29 + 9 + 8 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2375976871 + ... + 2375977049.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168000).

Almost surely, 2425299875840 is an apocalyptic number.

425299875840 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 425299875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883104768000).

425299875840 is an abundant number, since it is smaller than the sum of its proper divisors (1340909660160).

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

425299875840 is a wasteful number, since it uses less digits than its factorization.

425299875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 425299875840 in words is "four hundred twenty-five billion, two hundred ninety-nine million, eight hundred seventy-five thousand, eight hundred forty".