Search a number
-
+
45110200520 = 235711194211831
BaseRepresentation
bin101010000000110001…
…110000100011001000
311022102210210121202102
4222000301300203020
51214341202404040
632420124052532
73154605243410
oct520061604310
9138383717672
1045110200520
1118149594360
1288ab394148
13433b9b6858
14227d157640
15129045a515
hexa80c708c8

45110200520 has 256 divisors, whose sum is σ = 133592371200. Its totient is φ = 13281408000.

The previous prime is 45110200517. The next prime is 45110200523. The reversal of 45110200520 is 2500201154.

It is an interprime number because it is at equal distance from previous prime (45110200517) and next prime (45110200523).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45110200492 and 45110200501.

It is not an unprimeable number, because it can be changed into a prime (45110200523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24636005 + ... + 24637835.

It is an arithmetic number, because the mean of its divisors is an integer number (521845200).

Almost surely, 245110200520 is an apocalyptic number.

45110200520 is a gapful number since it is divisible by the number (40) 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 45110200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66796185600).

45110200520 is an abundant number, since it is smaller than the sum of its proper divisors (88482170680).

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

45110200520 is a wasteful number, since it uses less digits than its factorization.

45110200520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 45110200520 its reverse (2500201154), we get a palindrome (47610401674).

The spelling of 45110200520 in words is "forty-five billion, one hundred ten million, two hundred thousand, five hundred twenty".