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425320896000 = 29353711132213
BaseRepresentation
bin1100011000001110001…
…10011101011000000000
31111122211100022011100210
412030013012131120000
523432024122133000
6523220102514120
742504563652150
oct6140706353000
91448740264323
10425320896000
11154417615330
126a51b135940
13311524aa840
141682addc760
15b0e4856350
hex630719d600

425320896000 has 1280 divisors, whose sum is σ = 1899490424832. Its totient is φ = 81543168000.

The previous prime is 425320895999. The next prime is 425320896019. The reversal of 425320896000 is 698023524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 425320896000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192190894 + ... + 192193106.

Almost surely, 2425320896000 is an apocalyptic number.

425320896000 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 425320896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949745212416).

425320896000 is an abundant number, since it is smaller than the sum of its proper divisors (1474169528832).

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

425320896000 is a wasteful number, since it uses less digits than its factorization.

425320896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 425320896000 in words is "four hundred twenty-five billion, three hundred twenty million, eight hundred ninety-six thousand".