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45088712900 = 225271110157977
BaseRepresentation
bin101001111111011111…
…110010100011000100
311022101022100221021122
4221333133302203010
51214320202303100
632414035333112
73154224510320
oct517737624304
9138338327248
1045088712900
11181384483a0
1288a4151198
13433740229a
14227a362980
15128d613985
hexa7f7f28c4

45088712900 has 144 divisors (see below), whose sum is σ = 123195364992. Its totient is φ = 13914240000.

The previous prime is 45088712881. The next prime is 45088712939. The reversal of 45088712900 is 921788054.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748712 + ... + 806688.

It is an arithmetic number, because the mean of its divisors is an integer number (855523368).

Almost surely, 245088712900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45088712900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61597682496).

45088712900 is an abundant number, since it is smaller than the sum of its proper divisors (78106652092).

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

45088712900 is a wasteful number, since it uses less digits than its factorization.

45088712900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58110 (or 58103 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 45088712900 in words is "forty-five billion, eighty-eight million, seven hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 101 110 140 154 175 202 220 275 308 350 385 404 505 550 700 707 770 1010 1100 1111 1414 1540 1925 2020 2222 2525 2828 3535 3850 4444 5050 5555 7070 7700 7777 10100 11110 14140 15554 17675 22220 27775 31108 35350 38885 55550 57977 70700 77770 111100 115954 155540 194425 231908 289885 388850 405839 579770 637747 777700 811678 1159540 1275494 1449425 1623356 2029195 2550988 2898850 3188735 4058390 4464229 5797700 5855677 6377470 8116780 8928458 10145975 11711354 12754940 15943675 17856916 20291950 22321145 23422708 29278385 31887350 40583900 40989739 44642290 58556770 63774700 64412447 81979478 89284580 111605725 117113540 128824894 146391925 163958956 204948695 223211450 257649788 292783850 322062235 409897390 446422900 450887129 585567700 644124470 819794780 901774258 1024743475 1288248940 1610311175 1803548516 2049486950 2254435645 3220622350 4098973900 4508871290 6441244700 9017742580 11272178225 22544356450 45088712900