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1644225372405 = 3357211193313593
BaseRepresentation
bin10111111011010011011…
…110000010000011110101
312211012000220010011202000
4113323103132002003311
5203414333143404110
63255202520005513
7226535303031600
oct27732336020365
95735026104660
101644225372405
115843483a3340
122267b3900899
13bc0854c8b55
145981c117337
152cb8400d1c0
hex17ed37820f5

1644225372405 has 384 divisors, whose sum is σ = 3917540505600. Its totient is φ = 645215155200.

The previous prime is 1644225372403. The next prime is 1644225372407. The reversal of 1644225372405 is 5042735224461.

1644225372405 is a `hidden beast` number, since 16 + 4 + 4 + 225 + 3 + 7 + 2 + 405 = 666.

It is an interprime number because it is at equal distance from previous prime (1644225372403) and next prime (1644225372407).

It is not a de Polignac number, because 1644225372405 - 21 = 1644225372403 is a prime.

It is a super-3 number, since 3×16442253724053 (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1644225372403) by changing a digit.

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, 457617289 + ... + 457620881.

It is an arithmetic number, because the mean of its divisors is an integer number (10201928400).

Almost surely, 21644225372405 is an apocalyptic number.

1644225372405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1644225372405 is an abundant number, since it is smaller than the sum of its proper divisors (2273315133195).

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

1644225372405 is a wasteful number, since it uses less digits than its factorization.

1644225372405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 1644225372405 in words is "one trillion, six hundred forty-four billion, two hundred twenty-five million, three hundred seventy-two thousand, four hundred five".