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45444540148 = 22717319973089
BaseRepresentation
bin101010010100101101…
…001010011011110100
311100022002220211111121
4222110231022123310
51221032300241043
632513230113324
73166105134460
oct522455123364
9140262824447
1045444540148
11183002926a7
12898334b844
134393048957
1422b17094a0
1512ae99dded
hexa94b4a6f4

45444540148 has 96 divisors (see below), whose sum is σ = 99471697920. Its totient is φ = 17715732480.

The previous prime is 45444540143. The next prime is 45444540149. The reversal of 45444540148 is 84104544454.

45444540148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45444540143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14710188 + ... + 14713276.

It is an arithmetic number, because the mean of its divisors is an integer number (1036163520).

Almost surely, 245444540148 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 45444540148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49735848960).

45444540148 is an abundant number, since it is smaller than the sum of its proper divisors (54027157772).

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

45444540148 is a wasteful number, since it uses less digits than its factorization.

45444540148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 43.

The spelling of 45444540148 in words is "forty-five billion, four hundred forty-four million, five hundred forty thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 434 476 527 868 997 1054 1994 2108 3089 3689 3988 6178 6979 7378 12356 13958 14756 16949 21623 27916 30907 33898 43246 52513 61814 67796 86492 95759 105026 118643 123628 191518 210052 216349 237286 367591 383036 432698 474572 525419 670313 735182 865396 1050838 1340626 1470364 1627903 2101676 2681252 3079733 3255806 3677933 6159466 6511612 7355866 11395321 12318932 14711732 21558131 22790642 43116262 45581284 52355461 86232524 95471723 104710922 190943446 209421844 366488227 381886892 668302061 732976454 1336604122 1465952908 1623019291 2673208244 3246038582 6492077164 11361135037 22722270074 45444540148