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425921233920 = 210357213101431
BaseRepresentation
bin1100011001010101110…
…00100100010000000000
31111201101011221111011120
412030222320210100000
523434241313441140
6523355430112240
742525503516400
oct6145270442000
91451334844146
10425921233920
111546a5484076
126a6681ab680
1331219994190
1416886a32800
15b12c3de1d0
hex632ae24400

425921233920 has 1056 divisors, whose sum is σ = 1727491401216. Its totient is φ = 88768512000.

The previous prime is 425921233909. The next prime is 425921233957. The reversal of 425921233920 is 29332129524.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 988216105 + ... + 988216535.

Almost surely, 2425921233920 is an apocalyptic number.

425921233920 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 425921233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863745700608).

425921233920 is an abundant number, since it is smaller than the sum of its proper divisors (1301570167296).

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

425921233920 is a wasteful number, since it uses less digits than its factorization.

425921233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 425921233920 in words is "four hundred twenty-five billion, nine hundred twenty-one million, two hundred thirty-three thousand, nine hundred twenty".