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45134578908 = 223223374135933
BaseRepresentation
bin101010000010001110…
…110000010011011100
311022111111200011121200
4222002032300103130
51214413423011113
632422354355500
73155322406416
oct520216602334
9138444604550
1045134578908
1118161325191
1288b758bb90
134343a70b33
1422824a19b6
151292673873
hexa823b04dc

45134578908 has 144 divisors (see below), whose sum is σ = 125253850176. Its totient is φ = 13659909120.

The previous prime is 45134578903. The next prime is 45134578963. The reversal of 45134578908 is 80987543154.

45134578908 is a `hidden beast` number, since 4 + 513 + 45 + 7 + 89 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45134578901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1238110 + ... + 1274042.

It is an arithmetic number, because the mean of its divisors is an integer number (869818404).

Almost surely, 245134578908 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 45134578908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62626925088).

45134578908 is an abundant number, since it is smaller than the sum of its proper divisors (80119271268).

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

45134578908 is a wasteful number, since it uses less digits than its factorization.

45134578908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36044 (or 36039 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 45134578908 in words is "forty-five billion, one hundred thirty-four million, five hundred seventy-eight thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 41 46 69 74 82 92 111 123 138 148 164 207 222 246 276 333 369 414 444 492 666 738 828 851 943 1332 1476 1517 1702 1886 2553 2829 3034 3404 3772 4551 5106 5658 6068 7659 8487 9102 10212 11316 13653 15318 16974 18204 27306 30636 33948 34891 35933 54612 69782 71866 104673 107799 139564 143732 209346 215598 314019 323397 418692 431196 628038 646794 826459 1256076 1293588 1329521 1473253 1652918 2479377 2659042 2946506 3305836 3988563 4419759 4958754 5318084 5893012 7438131 7977126 8839518 9917508 11965689 13259277 14876262 15954252 17679036 23931378 26518554 29752524 30578983 33884819 47862756 53037108 54510361 61157966 67769638 91736949 101654457 109020722 122315932 135539276 163531083 183473898 203308914 218041444 275210847 304963371 327062166 366947796 406617828 490593249 550421694 609926742 654124332 981186498 1100843388 1219853484 1253738303 1962372996 2507476606 3761214909 5014953212 7522429818 11283644727 15044859636 22567289454 45134578908