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662005390464 = 273211715571321
BaseRepresentation
bin10011010001000101001…
…10001001110010000000
32100021202021221020210100
421220202212021302000
541321241334443324
61224042053002400
765554052655105
oct11504246116200
92307667836710
10662005390464
1123583386a150
12a8374323400
134a5719cb472
14240811d6aac
151234869a4c9
hex9a22989c80

662005390464 has 384 divisors, whose sum is σ = 2112822092160. Its totient is φ = 197277696000.

The previous prime is 662005390463. The next prime is 662005390589. The reversal of 662005390464 is 464093500266.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6620053904642 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (662005390463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501138924 + ... + 501140244.

It is an arithmetic number, because the mean of its divisors is an integer number (5502140865).

Almost surely, 2662005390464 is an apocalyptic number.

662005390464 is a gapful number since it is divisible by the number (64) 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 662005390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056411046080).

662005390464 is an abundant number, since it is smaller than the sum of its proper divisors (1450816701696).

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

662005390464 is a wasteful number, since it uses less digits than its factorization.

662005390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 662005390464 in words is "six hundred sixty-two billion, five million, three hundred ninety thousand, four hundred sixty-four".