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45023663520 = 25325112842403
BaseRepresentation
bin101001111011100111…
…101001010110100000
311022012202222002022100
4221323213221112200
51214202024213040
632403353210400
73152504553063
oct517347512640
9138182862270
1045023663520
1118104758880
128886400a00
134326aa7c24
14227186c8da
151287a64b30
hexa7b9e95a0

45023663520 has 144 divisors (see below), whose sum is σ = 167610879072. Its totient is φ = 10914823680.

The previous prime is 45023663483. The next prime is 45023663569. The reversal of 45023663520 is 2536632054.

45023663520 is a `hidden beast` number, since 4 + 50 + 23 + 6 + 63 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1405362 + ... + 1437041.

It is an arithmetic number, because the mean of its divisors is an integer number (1163964438).

Almost surely, 245023663520 is an apocalyptic number.

45023663520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45023663520 is an abundant number, since it is smaller than the sum of its proper divisors (122587215552).

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

45023663520 is a wasteful number, since it uses less digits than its factorization.

45023663520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842435 (or 2842424 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 45023663520 in words is "forty-five billion, twenty-three million, six hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 2842403 5684806 8527209 11369612 14212015 17054418 22739224 25581627 28424030 31266433 34108836 42636045 45478448 51163254 56848060 62532866 68217672 85272090 90956896 93799299 102326508 113696120 125065732 127908135 136435344 156332165 170544180 187598598 204653016 227392240 250131464 255816270 272870688 281397897 312664330 341088360 375197196 409306032 454784480 468996495 500262928 511632540 562795794 625328660 682176720 750394392 818612064 937992990 1000525856 1023265080 1125591588 1250657320 1364353440 1406989485 1500788784 1875985980 2046530160 2251183176 2501314640 2813978970 3001577568 3751971960 4093060320 4502366352 5002629280 5627957940 7503943920 9004732704 11255915880 15007887840 22511831760 45023663520