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5162703840 = 253257432277
BaseRepresentation
bin1001100111011100…
…01001101111100000
3111022210112112021100
410303232021233200
541033123010330
62212142354400
7241636154460
oct46356115740
914283475240
105162703840
11220a236898
121000b8ba00
13643787c58
1436d935ba0
15203395060
hex133b89be0

5162703840 has 432 divisors, whose sum is σ = 20688097248. Its totient is φ = 1148442624.

The previous prime is 5162703839. The next prime is 5162703881. The reversal of 5162703840 is 483072615.

5162703840 is a `hidden beast` number, since 5 + 1 + 6 + 270 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5162703795 and 5162703804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18637782 + ... + 18638058.

It is an arithmetic number, because the mean of its divisors is an integer number (47889114).

Almost surely, 25162703840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5162703840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10344048624).

5162703840 is an abundant number, since it is smaller than the sum of its proper divisors (15525393408).

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

5162703840 is a wasteful number, since it uses less digits than its factorization.

5162703840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5162703840 is about 71851.9578021365. The cubic root of 5162703840 is about 1728.3262951211.

The spelling of 5162703840 in words is "five billion, one hundred sixty-two million, seven hundred three thousand, eight hundred forty".