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5142599280 = 243757131719
BaseRepresentation
bin1001100101000010…
…11101011001110000
3111021101201010000000
410302201131121300
541013001134110
62210143430000
7241303241550
oct46241353160
914241633000
105142599280
1121a9954a55
12bb62b5300
1363c569070
1436adc1160
152017231c0
hex13285d670

5142599280 has 1280 divisors, whose sum is σ = 24598425600. Its totient is φ = 967458816.

The previous prime is 5142599257. The next prime is 5142599281. The reversal of 5142599280 is 829952415.

It is a happy number.

5142599280 is a `hidden beast` number, since 51 + 4 + 2 + 599 + 2 + 8 + 0 = 666.

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 (5142599281) 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, 270663111 + ... + 270663129.

It is an arithmetic number, because the mean of its divisors is an integer number (19217520).

Almost surely, 25142599280 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 5142599280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12299212800).

5142599280 is an abundant number, since it is smaller than the sum of its proper divisors (19455826320).

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

5142599280 is a wasteful number, since it uses less digits than its factorization.

5142599280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5142599280 is about 71711.9186746527. The cubic root of 5142599280 is about 1726.0798984813.

The spelling of 5142599280 in words is "five billion, one hundred forty-two million, five hundred ninety-nine thousand, two hundred eighty".