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45423988056 = 2335101231349
BaseRepresentation
bin101010010011011110…
…110000110101011000
311100020200020200100000
4222103132300311120
51221012020104211
632511213413000
73165435346026
oct522336606530
9140220220300
1045423988056
111829a7255a7
12897849a160
13438ba01155
1422acab9716
1512acc8e656
hexa937b0d58

45423988056 has 96 divisors (see below), whose sum is σ = 128843442000. Its totient is φ = 14991350400.

The previous prime is 45423988039. The next prime is 45423988097. The reversal of 45423988056 is 65088932454.

45423988056 is a `hidden beast` number, since 4 + 5 + 423 + 98 + 80 + 56 = 666.

45423988056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45423987993 and 45423988011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80670 + ... + 312018.

Almost surely, 245423988056 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 45423988056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64421721000).

45423988056 is an abundant number, since it is smaller than the sum of its proper divisors (83419453944).

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

45423988056 is a wasteful number, since it uses less digits than its factorization.

45423988056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231471 (or 231455 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 45423988056 in words is "forty-five billion, four hundred twenty-three million, nine hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 243 303 324 404 486 606 648 808 909 972 1212 1818 1944 2424 2727 3636 5454 7272 8181 10908 16362 21816 24543 32724 49086 65448 98172 196344 231349 462698 694047 925396 1388094 1850792 2082141 2776188 4164282 5552376 6246423 8328564 12492846 16657128 18739269 23366249 24985692 37478538 46732498 49971384 56217807 70098747 74957076 93464996 112435614 140197494 149914152 186929992 210296241 224871228 280394988 420592482 449742456 560789976 630888723 841184964 1261777446 1682369928 1892666169 2523554892 3785332338 5047109784 5677998507 7570664676 11355997014 15141329352 22711994028 45423988056