Search a number
-
+
45523525112 = 23132922771879
BaseRepresentation
bin101010011001011010…
…011101110111111000
311100111121112200111122
4222121122131313320
51221213010300422
632525131044412
73201054402362
oct523132356770
9140447480448
1045523525112
111834093022a
1289a58a0708
1343a6512010
1422bbdc9d32
1512b68a1d42
hexa9969ddf8

45523525112 has 96 divisors (see below), whose sum is σ = 95596082400. Its totient is φ = 20202352128.

The previous prime is 45523525111. The next prime is 45523525139. The reversal of 45523525112 is 21152532554.

It is a happy number.

It is a super-2 number, since 2×455235251122 (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 (45523525111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24226589 + ... + 24228467.

It is an arithmetic number, because the mean of its divisors is an integer number (995792525).

Almost surely, 245523525112 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 45523525112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47798041200).

45523525112 is an abundant number, since it is smaller than the sum of its proper divisors (50072557288).

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

45523525112 is a wasteful number, since it uses less digits than its factorization.

45523525112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2200 counting only the distinct ones).

The product of its digits is 60000, while the sum is 35.

The spelling of 45523525112 in words is "forty-five billion, five hundred twenty-three million, five hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 277 377 554 754 841 1108 1508 1682 1879 2216 3016 3364 3601 3758 6728 7202 7516 8033 10933 14404 15032 16066 21866 24427 28808 32132 43732 48854 54491 64264 87464 97708 104429 108982 195416 208858 217964 232957 417716 435928 465914 520483 708383 835432 931828 1040966 1416766 1580239 1863656 2081932 2833532 3028441 3160478 4163864 5667064 6056882 6320956 6766279 12113764 12641912 13532558 15094007 20543107 24227528 27065116 30188014 41086214 54130232 60376028 82172428 120752056 164344856 196222091 392444182 437726203 784888364 875452406 1569776728 1750904812 3501809624 5690440639 11380881278 22761762556 45523525112