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45014333360 = 2451944965957
BaseRepresentation
bin101001111011000100…
…000011011110110000
311022012010102001201212
4221323010003132300
51214142132131420
632402421215252
73152332343333
oct517304033660
9138163361655
1045014333360
11180aa4659a7
128883261528
134324b8c219
14227052061a
151286d203c5
hexa7b1037b0

45014333360 has 80 divisors (see below), whose sum is σ = 110413692000. Its totient is φ = 17019813888.

The previous prime is 45014333359. The next prime is 45014333363. The reversal of 45014333360 is 6333341054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (45014333363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 649502 + ... + 715458.

It is an arithmetic number, because the mean of its divisors is an integer number (1380171150).

Almost surely, 245014333360 is an apocalyptic number.

45014333360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45014333360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55206846000).

45014333360 is an abundant number, since it is smaller than the sum of its proper divisors (65399358640).

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

45014333360 is a wasteful number, since it uses less digits than its factorization.

45014333360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66438 (or 66432 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The spelling of 45014333360 in words is "forty-five billion, fourteen million, three hundred thirty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 449 760 898 1520 1796 2245 3592 4490 7184 8531 8980 17062 17960 34124 35920 42655 65957 68248 85310 131914 136496 170620 263828 329785 341240 527656 659570 682480 1055312 1253183 1319140 2506366 2638280 5012732 5276560 6265915 10025464 12531830 20050928 25063660 29614693 50127320 59229386 100254640 118458772 148073465 236917544 296146930 473835088 562679167 592293860 1125358334 1184587720 2250716668 2369175440 2813395835 4501433336 5626791670 9002866672 11253583340 22507166680 45014333360