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45625211520 = 273573394733
BaseRepresentation
bin101010011111011110…
…010111101010000000
311100202200212220000220
4222133132113222000
51221420023232040
632543202343040
73203430620250
oct523736275200
9140680786026
1045625211520
1118393273789
128a1395aa80
1343c15c62a5
1422cb6d9960
1512c078b2d0
hexa9f797a80

45625211520 has 128 divisors (see below), whose sum is σ = 166206176640. Its totient is φ = 10428616704.

The previous prime is 45625211497. The next prime is 45625211539. The reversal of 45625211520 is 2511252654.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1683927 + ... + 1710806.

It is an arithmetic number, because the mean of its divisors is an integer number (1298485755).

Almost surely, 245625211520 is an apocalyptic number.

45625211520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45625211520 is an abundant number, since it is smaller than the sum of its proper divisors (120580965120).

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

45625211520 is a wasteful number, since it uses less digits than its factorization.

45625211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394762 (or 3394750 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 45625211520 in words is "forty-five billion, six hundred twenty-five million, two hundred eleven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 3394733 6789466 10184199 13578932 16973665 20368398 23763131 27157864 33947330 40736796 47526262 50920995 54315728 67894660 71289393 81473592 95052524 101841990 108631456 118815655 135789320 142578786 162947184 190105048 203683980 217262912 237631310 271578640 285157572 325894368 356446965 380210096 407367960 434525824 475262620 543157280 570315144 651788736 712893930 760420192 814735920 950525240 1086314560 1140630288 1303577472 1425787860 1520840384 1629471840 1901050480 2172629120 2281260576 2851575720 3041680768 3258943680 3802100960 4562521152 5703151440 6517887360 7604201920 9125042304 11406302880 15208403840 22812605760 45625211520