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5833881144 = 23347131941127
BaseRepresentation
bin1010110111011100…
…11111011000111000
3120001120110212110000
411123232133120320
543421433144034
62402520153000
7264366112560
oct53356373070
916046425400
105833881144
11252408a283
121169908760
1371c8451a0
143d4b29da0
15242272599
hex15bb9f638

5833881144 has 640 divisors, whose sum is σ = 21856665600. Its totient is φ = 1410877440.

The previous prime is 5833881139. The next prime is 5833881167. The reversal of 5833881144 is 4411883385.

It is a super-3 number, since 3×58338811443 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5833881144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45936009 + ... + 45936135.

It is an arithmetic number, because the mean of its divisors is an integer number (34151040).

Almost surely, 25833881144 is an apocalyptic number.

5833881144 is a gapful number since it is divisible by the number (54) 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 5833881144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10928332800).

5833881144 is an abundant number, since it is smaller than the sum of its proper divisors (16022784456).

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

5833881144 is a wasteful number, since it uses less digits than its factorization.

5833881144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 5833881144 is about 76379.8477610423. The cubic root of 5833881144 is about 1800.1935125286.

The spelling of 5833881144 in words is "five billion, eight hundred thirty-three million, eight hundred eighty-one thousand, one hundred forty-four".