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5109282360 = 2334571323143
BaseRepresentation
bin1001100001000100…
…10111011000111000
3111012002000102210000
410300202113120320
540430434013420
62202553353000
7240420116640
oct46042273070
914162012700
105109282360
112192069506
12ba7108760
136356a2400
143667cb520
151ed841690
hex130897638

5109282360 has 960 divisors, whose sum is σ = 22447687680. Its totient is φ = 1018967040.

The previous prime is 5109282359. The next prime is 5109282361. The reversal of 5109282360 is 632829015.

5109282360 is a `hidden beast` number, since 5 + 10 + 9 + 282 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (5109282359) and next prime (5109282361).

It is a super-2 number, since 2×51092823602 = 52209532468414339200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109282361) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 118820499 + ... + 118820541.

It is an arithmetic number, because the mean of its divisors is an integer number (23383008).

Almost surely, 25109282360 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 5109282360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223843840).

5109282360 is an abundant number, since it is smaller than the sum of its proper divisors (17338405320).

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

5109282360 is a wasteful number, since it uses less digits than its factorization.

5109282360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5109282360 is about 71479.2442601347. The cubic root of 5109282360 is about 1722.3442840130.

The spelling of 5109282360 in words is "five billion, one hundred nine million, two hundred eighty-two thousand, three hundred sixty".