Search a number
-
+
45731603731000 = 23531123180757327
BaseRepresentation
bin10100110010111101101111…
…11111101101001000111000
312222220220021002112102012011
422121132313333231020320
521443231311023343000
6241132450403455304
712426666525650635
oct1231366777551070
9188826232472164
1045731603731000
11136317340a4080
125167111687534
131c69619501ab5
14b415c859718c
155448b5d092ba
hex2997b7fed238

45731603731000 has 128 divisors (see below), whose sum is σ = 121815978485760. Its totient is φ = 15906644688000.

The previous prime is 45731603730971. The next prime is 45731603731043. The reversal of 45731603731000 is 13730613754.

It is a super-2 number, since 2×457316037310002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90125664 + ... + 90631663.

It is an arithmetic number, because the mean of its divisors is an integer number (951687331920).

Almost surely, 245731603731000 is an apocalyptic number.

45731603731000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45731603731000 is an abundant number, since it is smaller than the sum of its proper divisors (76084374754760).

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

45731603731000 is a wasteful number, since it uses less digits than its factorization.

45731603731000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180757382 (or 180757368 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 40.

The spelling of 45731603731000 in words is "forty-five trillion, seven hundred thirty-one billion, six hundred three million, seven hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 440 460 500 506 550 575 920 1000 1012 1100 1150 1265 1375 2024 2200 2300 2530 2750 2875 4600 5060 5500 5750 6325 10120 11000 11500 12650 23000 25300 31625 50600 63250 126500 253000 180757327 361514654 723029308 903786635 1446058616 1807573270 1988330597 3615146540 3976661194 4157418521 4518933175 7230293080 7953322388 8314837042 9037866350 9941652985 15906644776 16629674084 18075732700 19883305970 20787092605 22594665875 33259348168 36151465400 39766611940 41574185210 45189331750 45731603731 49708264925 79533223880 83148370420 90378663500 91463207462 99416529850 103935463025 166296740840 180757327000 182926414924 198833059700 207870926050 228658018655 248541324625 365852829848 397666119400 415741852100 457316037310 497082649250 519677315125 831483704200 914632074620 994165298500 1039354630250 1143290093275 1829264149240 1988330597000 2078709260500 2286580186550 4157418521000 4573160373100 5716450466375 9146320746200 11432900932750 22865801865500 45731603731000