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5086209024 = 21034135389
BaseRepresentation
bin1001011110010100…
…10110010000000000
3111010110121012010000
410233022112100000
540404032142044
62200411040000
7240020030511
oct45712262000
914113535100
105086209024
11218003a136
12b9b440000
13630984150
14363702a08
151eb7d4d69
hex12f296400

5086209024 has 440 divisors, whose sum is σ = 16852623480. Its totient is φ = 1518206976.

The previous prime is 5086209017. The next prime is 5086209043. The reversal of 5086209024 is 4209026805.

It is a happy number.

5086209024 is a `hidden beast` number, since 5 + 0 + 8 + 620 + 9 + 0 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107495424 + 4978713600 = 10368^2 + 70560^2 .

It is a super-3 number, since 3×50862090243 (a number of 30 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5086209024.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57148372 + ... + 57148460.

It is an arithmetic number, because the mean of its divisors is an integer number (38301417).

Almost surely, 25086209024 is an apocalyptic number.

5086209024 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 5086209024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426311740).

5086209024 is an abundant number, since it is smaller than the sum of its proper divisors (11766414456).

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

5086209024 is a wasteful number, since it uses less digits than its factorization.

5086209024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5086209024 is about 71317.6627771830. The cubic root of 5086209024 is about 1719.7476896890.

The spelling of 5086209024 in words is "five billion, eighty-six million, two hundred nine thousand, twenty-four".