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45242514200 = 23521317400967
BaseRepresentation
bin101010001000101010…
…011111101100011000
311022210000202212000002
4222020222133230120
51220124040423300
632441212032132
73161103011522
oct521052375430
9138700685002
1045242514200
1118207246604
128927762648
134360232480
14229295aa12
15129bd945d5
hexa88a9fb18

45242514200 has 48 divisors (see below), whose sum is σ = 113280301680. Its totient is φ = 16704927360.

The previous prime is 45242514197. The next prime is 45242514203. The reversal of 45242514200 is 241524254.

It is an interprime number because it is at equal distance from previous prime (45242514197) and next prime (45242514203).

It is a super-2 number, since 2×452425142002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45242514203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8697884 + ... + 8703083.

It is an arithmetic number, because the mean of its divisors is an integer number (2360006285).

Almost surely, 245242514200 is an apocalyptic number.

45242514200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45242514200 is an abundant number, since it is smaller than the sum of its proper divisors (68037787480).

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

45242514200 is a wasteful number, since it uses less digits than its factorization.

45242514200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17400996 (or 17400987 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The spelling of 45242514200 in words is "forty-five billion, two hundred forty-two million, five hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 17400967 34801934 69603868 87004835 139207736 174009670 226212571 348019340 435024175 452425142 696038680 870048350 904850284 1131062855 1740096700 1809700568 2262125710 3480193400 4524251420 5655314275 9048502840 11310628550 22621257100 45242514200