Search a number
-
+
45524073378 = 23731911310303
BaseRepresentation
bin101010011001011100…
…100011101110100010
311100111122120112120210
4222121130203232202
51221213130322003
632525150514550
73201062145000
oct523134435642
9140448515523
1045524073378
1118341175143
1289a5b05a56
1343a6674734
1422bc0cda70
1512b695e503
hexa99723ba2

45524073378 has 128 divisors (see below), whose sum is σ = 112766976000. Its totient is φ = 12212073216.

The previous prime is 45524073377. The next prime is 45524073391. The reversal of 45524073378 is 87337042554.

45524073378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45524073377) 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, 4413375 + ... + 4423677.

It is an arithmetic number, because the mean of its divisors is an integer number (880992000).

Almost surely, 245524073378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45524073378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56383488000).

45524073378 is an abundant number, since it is smaller than the sum of its proper divisors (67242902622).

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

45524073378 is a wasteful number, since it uses less digits than its factorization.

45524073378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10461 (or 10447 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 45524073378 in words is "forty-five billion, five hundred twenty-four million, seventy-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 113 114 133 147 226 266 294 339 343 399 678 686 791 798 931 1029 1582 1862 2058 2147 2373 2793 4294 4746 5537 5586 6441 6517 10303 11074 12882 13034 15029 16611 19551 20606 30058 30909 33222 38759 39102 45087 61818 72121 77518 90174 105203 116277 144242 195757 210406 216363 232554 315609 391514 432726 504847 587271 631218 736421 1009694 1164239 1174542 1370299 1472842 1514541 2209263 2328478 2740598 3029082 3492717 3533929 4110897 4418526 6985434 7067858 8149673 8221794 9592093 10601787 16299346 19184186 21203574 22120541 24449019 28776279 44241082 48898038 57047711 57552558 66361623 67144651 114095422 132723246 134289302 154843787 171143133 201433953 309687574 342286266 399333977 402867906 464531361 798667954 929062722 1083906509 1198001931 2167813018 2396003862 3251719527 6503439054 7587345563 15174691126 22762036689 45524073378