Search a number
-
+
45966620025 = 32521749924083
BaseRepresentation
bin101010110011110100…
…101111010101111001
311101122111022020110100
4222303310233111321
51223114423320100
633041120110013
73215044552314
oct526364572571
9141574266410
1045966620025
1118548a5aa77
128aaa165309
134447261a61
142320bab97b
1512e0729400
hexab3d2f579

45966620025 has 72 divisors (see below), whose sum is σ = 87352668000. Its totient is φ = 23026245120.

The previous prime is 45966619987. The next prime is 45966620033. The reversal of 45966620025 is 52002666954.

It is a happy number.

It is not a de Polignac number, because 45966620025 - 26 = 45966619961 is a prime.

It is a super-2 number, since 2×459666200252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1896634 + ... + 1920716.

It is an arithmetic number, because the mean of its divisors is an integer number (1213231500).

Almost surely, 245966620025 is an apocalyptic number.

45966620025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45966620025 is a deficient number, since it is larger than the sum of its proper divisors (41386047975).

45966620025 is a wasteful number, since it uses less digits than its factorization.

45966620025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24615 (or 24607 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 45966620025 in words is "forty-five billion, nine hundred sixty-six million, six hundred twenty thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 499 765 1275 1497 2495 3825 4491 7485 8483 12475 22455 24083 25449 37425 42415 72249 76347 112275 120415 127245 212075 216747 361245 381735 409411 602075 636225 1083735 1228233 1806225 1908675 2047055 3684699 5418675 6141165 10235275 12017417 18423495 30705825 36052251 60087085 92117475 108156753 180261255 204296089 300435425 540783765 612888267 901306275 1021480445 1838664801 2703918825 3064441335 5107402225 9193324005 15322206675 45966620025