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45103066560 = 2632515660787
BaseRepresentation
bin101010000000010110…
…100010110111000000
311022102022101011210200
4222000112202313000
51214332341112220
632415311125200
73154460511606
oct520026426700
9138368334720
1045103066560
1118145561522
1288a8b13800
13433a389686
14227c21b876
15128e9eb890
hexa805a2dc0

45103066560 has 84 divisors (see below), whose sum is σ = 155135765928. Its totient is φ = 12027483648.

The previous prime is 45103066549. The next prime is 45103066583. The reversal of 45103066560 is 6566030154.

45103066560 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 30 + 66 + 560 = 666.

It is a super-2 number, since 2×451030665602 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7827514 + ... + 7833273.

Almost surely, 245103066560 is an apocalyptic number.

45103066560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45103066560 is an abundant number, since it is smaller than the sum of its proper divisors (110032699368).

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

45103066560 is a wasteful number, since it uses less digits than its factorization.

45103066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15660810 (or 15660797 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 45103066560 in words is "forty-five billion, one hundred three million, sixty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 15660787 31321574 46982361 62643148 78303935 93964722 125286296 140947083 156607870 187929444 234911805 250572592 281894166 313215740 375858888 469823610 501145184 563788332 626431480 704735415 751717776 939647220 1002290368 1127576664 1252862960 1409470830 1503435552 1879294440 2255153328 2505725920 2818941660 3006871104 3758588880 4510306656 5011451840 5637883320 7517177760 9020613312 11275766640 15034355520 22551533280 45103066560