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3822684323640 = 23357137379101601
BaseRepresentation
bin110111101000001001101…
…111011011111100111000
3111112110000102222001110120
4313220021233123330320
51000112324141324030
612044041131413240
7543115452425340
oct67501157337470
914473012861416
103822684323640
111244211709586
12518a412b4220
1321962933c490
14d3039c55d20
156968428c010
hex37a09bdbf38

3822684323640 has 1024 divisors, whose sum is σ = 14656790937600. Its totient is φ = 776355840000.

The previous prime is 3822684323629. The next prime is 3822684323641. The reversal of 3822684323640 is 463234862283.

It is a super-2 number, since 2×38226843236402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3822684323641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6360539340 + ... + 6360539940.

It is an arithmetic number, because the mean of its divisors is an integer number (14313272400).

Almost surely, 23822684323640 is an apocalyptic number.

3822684323640 is a gapful number since it is divisible by the number (30) 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 3822684323640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328395468800).

3822684323640 is an abundant number, since it is smaller than the sum of its proper divisors (10834106613960).

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

3822684323640 is a wasteful number, since it uses less digits than its factorization.

3822684323640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 51.

The spelling of 3822684323640 in words is "three trillion, eight hundred twenty-two billion, six hundred eighty-four million, three hundred twenty-three thousand, six hundred forty".