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425314104048 = 24343153199741
BaseRepresentation
bin1100011000001101011…
…00100011001011110000
31111122210212112002120000
412030012230203023300
523432020402312143
6523215301150000
742504452143431
oct6140654431360
91448725462500
10425314104048
111544137a6449
126a5189bb300
1331150c70232
141682a151488
15b0e3e63bd3
hex6306b232f0

425314104048 has 200 divisors, whose sum is σ = 1294673314176. Its totient is φ = 134608780800.

The previous prime is 425314104043. The next prime is 425314104049. The reversal of 425314104048 is 840401413524.

425314104048 is a `hidden beast` number, since 4 + 2 + 531 + 41 + 0 + 40 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425314104043) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2029458 + ... + 2229198.

Almost surely, 2425314104048 is an apocalyptic number.

425314104048 is a gapful number since it is divisible by the number (48) 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 425314104048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647336657088).

425314104048 is an abundant number, since it is smaller than the sum of its proper divisors (869359210128).

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

425314104048 is a wasteful number, since it uses less digits than its factorization.

425314104048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199845 (or 199830 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 425314104048 in words is "four hundred twenty-five billion, three hundred fourteen million, one hundred four thousand, forty-eight".