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662427205440 = 2635721113197173
BaseRepresentation
bin10011010001110111011…
…11001111111101000000
32100022211200122200011020
421220323233033331000
541323122331033230
61224152001545440
765600364225300
oct11507357177500
92308750580136
10662427205440
11235a2a984a70
12a8471645280
134a60b20a320
14240c1239600
151237071c810
hex9a3bbcff40

662427205440 has 2688 divisors, whose sum is σ = 3110235770880. Its totient is φ = 117050572800.

The previous prime is 662427205397. The next prime is 662427205483. The reversal of 662427205440 is 44502724266.

It is an interprime number because it is at equal distance from previous prime (662427205397) and next prime (662427205483).

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

It is a junction number, because it is equal to n+sod(n) for n = 662427205392 and 662427205401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9074345244 + ... + 9074345316.

It is an arithmetic number, because the mean of its divisors is an integer number (1157081760).

Almost surely, 2662427205440 is an apocalyptic number.

662427205440 is a gapful number since it is divisible by the number (60) 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 662427205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555117885440).

662427205440 is an abundant number, since it is smaller than the sum of its proper divisors (2447808565440).

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

662427205440 is a wasteful number, since it uses less digits than its factorization.

662427205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 662427205440 in words is "six hundred sixty-two billion, four hundred twenty-seven million, two hundred five thousand, four hundred forty".