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3352650564672 = 2637415373151
BaseRepresentation
bin110000110010011001100…
…010111100010001000000
3102212111202222112010000000
4300302121202330101000
5414412212021032142
611044104133000000
7464135543412123
oct60623142742100
912774688463000
103352650564672
11108293a927542
12461923a83000
131b41cc596896
14b83aa7b03ba
155c32431514c
hex30c998bc440

3352650564672 has 896 divisors, whose sum is σ = 10626638883840. Its totient is φ = 1048080384000.

The previous prime is 3352650564667. The next prime is 3352650564677. The reversal of 3352650564672 is 2764650562533.

3352650564672 is a `hidden beast` number, since 3 + 3 + 5 + 2 + 6 + 5 + 0 + 564 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (3352650564667) and next prime (3352650564677).

It is a super-2 number, since 2×33526505646722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3352650564677) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22202983797 + ... + 22202983947.

It is an arithmetic number, because the mean of its divisors is an integer number (11860088040).

Almost surely, 23352650564672 is an apocalyptic number.

3352650564672 is a gapful number since it is divisible by the number (32) 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 3352650564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313319441920).

3352650564672 is an abundant number, since it is smaller than the sum of its proper divisors (7273988319168).

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

3352650564672 is an equidigital number, since it uses as much as digits as its factorization.

3352650564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 3352650564672 in words is "three trillion, three hundred fifty-two billion, six hundred fifty million, five hundred sixty-four thousand, six hundred seventy-two".