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425531335680 = 21035511173159
BaseRepresentation
bin1100011000100111010…
…01001110010000000000
31111200101000021121100000
412030103221032100000
523432442010220210
6523253021200000
742513030450003
oct6142351162000
91450330247300
10425531335680
11154515388820
126a579700000
1331186c7b869
141684ad3b53a
15b108073ac0
hex6313a4e400

425531335680 has 2112 divisors, whose sum is σ = 1854067138560. Its totient is φ = 92366438400.

The previous prime is 425531335651. The next prime is 425531335681. The reversal of 425531335680 is 86533135524.

425531335680 is a `hidden beast` number, since 4 + 2 + 5 + 53 + 1 + 33 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (425531335681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7212395491 + ... + 7212395549.

Almost surely, 2425531335680 is an apocalyptic number.

425531335680 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 425531335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927033569280).

425531335680 is an abundant number, since it is smaller than the sum of its proper divisors (1428535802880).

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

425531335680 is a wasteful number, since it uses less digits than its factorization.

425531335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 425531335680 in words is "four hundred twenty-five billion, five hundred thirty-one million, three hundred thirty-five thousand, six hundred eighty".