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45114429150 = 23252717842473
BaseRepresentation
bin101010000001000001…
…111000111011011110
311022110002202110100100
4222001001320323132
51214343243213100
632420354441530
73154656214650
oct520101707336
9138402673310
1045114429150
1118150a1239a
1288b08932a6
13433c8374bb
14227d9386d0
1512909e3400
hexa81078ede

45114429150 has 144 divisors (see below), whose sum is σ = 146671353504. Its totient is φ = 9705277440.

The previous prime is 45114429127. The next prime is 45114429161. The reversal of 45114429150 is 5192441154.

45114429150 is a `hidden beast` number, since 4 + 511 + 4 + 4 + 2 + 91 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 367687 + ... + 474786.

It is an arithmetic number, because the mean of its divisors is an integer number (1018551066).

Almost surely, 245114429150 is an apocalyptic number.

45114429150 is an abundant number, since it is smaller than the sum of its proper divisors (101556924354).

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

45114429150 is a wasteful number, since it uses less digits than its factorization.

45114429150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842515 (or 842507 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 45114429150 in words is "forty-five billion, one hundred fourteen million, four hundred twenty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 25 30 34 35 42 45 50 51 63 70 75 85 90 102 105 119 126 150 153 170 175 210 225 238 255 306 315 350 357 425 450 510 525 595 630 714 765 850 1050 1071 1190 1275 1530 1575 1785 2142 2550 2975 3150 3570 3825 5355 5950 7650 8925 10710 17850 26775 53550 842473 1684946 2527419 4212365 5054838 5897311 7582257 8424730 11794622 12637095 14322041 15164514 17691933 21061825 25274190 28644082 29486555 35383866 37911285 42123650 42966123 53075799 58973110 63185475 71610205 75822570 85932246 88459665 100254287 106151598 126370950 128898369 143220410 147432775 176919330 189556425 200508574 214830615 257796738 265378995 294865550 300762861 358051025 379112850 429661230 442298325 501271435 530757990 601525722 644491845 716102050 884596650 902288583 1002542870 1074153075 1288983690 1326894975 1503814305 1804577166 2148306150 2506357175 2653789950 3007628610 3222459225 4511442915 5012714350 6444918450 7519071525 9022885830 15038143050 22557214575 45114429150