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5142964320 = 253351391577
BaseRepresentation
bin1001100101000101…
…10110100001100000
3111021102101122202000
410302202312201200
541013044324240
62210155324000
7241306322034
oct46242664140
914242348660
105142964320
1121aa08423a
12bb6450600
1363c666270
1436b0781c4
15201796430
hex1328b6860

5142964320 has 192 divisors, whose sum is σ = 19385231040. Its totient is φ = 1265946624.

The previous prime is 5142964301. The next prime is 5142964349. The reversal of 5142964320 is 234692415.

It is a happy number.

5142964320 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 9 + 643 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10372 + ... + 101948.

It is an arithmetic number, because the mean of its divisors is an integer number (100964745).

Almost surely, 25142964320 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 5142964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9692615520).

5142964320 is an abundant number, since it is smaller than the sum of its proper divisors (14242266720).

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

5142964320 is a wasteful number, since it uses less digits than its factorization.

5142964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91614 (or 91600 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5142964320 is about 71714.4638130970. The cubic root of 5142964320 is about 1726.1207386132.

The spelling of 5142964320 in words is "five billion, one hundred forty-two million, nine hundred sixty-four thousand, three hundred twenty".