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45032680224 = 2532731720569
BaseRepresentation
bin101001111100001010…
…000010101100100000
311022020101221011220100
4221330022002230200
51214211331231344
632404314342400
73152644315620
oct517412025440
9138211834810
1045032680224
11181098571a4
12888942aa00
13432891405c
142272b38880
151288746569
hexa7c282b20

45032680224 has 144 divisors (see below), whose sum is σ = 151077588480. Its totient is φ = 12451415040.

The previous prime is 45032680169. The next prime is 45032680241. The reversal of 45032680224 is 42208623054.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297789 + ... + 422780.

It is an arithmetic number, because the mean of its divisors is an integer number (1049149920).

Almost surely, 245032680224 is an apocalyptic number.

It is an amenable number.

45032680224 is an abundant number, since it is smaller than the sum of its proper divisors (106044908256).

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

45032680224 is a wasteful number, since it uses less digits than its factorization.

45032680224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720623 (or 720612 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 45032680224 in words is "forty-five billion, thirty-two million, six hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6944 7812 8928 10416 15624 20832 31248 62496 720569 1441138 2161707 2882276 4323414 5043983 5764552 6485121 8646828 10087966 11529104 12970242 15131949 17293656 20175932 22337639 23058208 25940484 30263898 34587312 40351864 44675278 45395847 51880968 60527796 67012917 69174624 80703728 89350556 90791694 103761936 121055592 134025834 156363473 161407456 178701112 181583388 201038751 207523872 242111184 268051668 312726946 357402224 363166776 402077502 469090419 484222368 536103336 625453892 714804448 726333552 804155004 938180838 1072206672 1250907784 1407271257 1452667104 1608310008 1876361676 2144413344 2501815568 2814542514 3216620016 3752723352 5003631136 5629085028 6433240032 7505446704 11258170056 15010893408 22516340112 45032680224