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2133145518 = 237229793167
BaseRepresentation
bin111111100100101…
…0011011110101110
312111122220000112120
41333021103132232
513332041124033
6551400413410
7103601303100
oct17711233656
95448800476
102133145518
119a5117889
124b6477266
1327cc247aa
14163437570
15c74131b3
hex7f2537ae

2133145518 has 96 divisors (see below), whose sum is σ = 5200588800. Its totient is φ = 580821696.

The previous prime is 2133145493. The next prime is 2133145541. The reversal of 2133145518 is 8155413312.

It is a congruent number.

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, 671971 + ... + 675137.

It is an arithmetic number, because the mean of its divisors is an integer number (54172800).

Almost surely, 22133145518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133145518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600294400).

2133145518 is an abundant number, since it is smaller than the sum of its proper divisors (3067443282).

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

2133145518 is a wasteful number, since it uses less digits than its factorization.

2133145518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3287 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 2133145518 is about 46185.9883297954. The cubic root of 2133145518 is about 1287.2814005091.

The spelling of 2133145518 in words is "two billion, one hundred thirty-three million, one hundred forty-five thousand, five hundred eighteen".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 79 87 98 147 158 174 203 237 294 406 474 553 609 1106 1218 1421 1659 2291 2842 3167 3318 3871 4263 4582 6334 6873 7742 8526 9501 11613 13746 16037 19002 22169 23226 32074 44338 48111 66507 91843 96222 112259 133014 155183 183686 224518 250193 275529 310366 336777 465549 500386 551058 642901 673554 750579 931098 1285802 1501158 1751351 1928703 3502702 3857406 4500307 5254053 7255597 9000614 10508106 12259457 13500921 14511194 21766791 24518914 27001842 36778371 43533582 50789179 73556742 101578358 152367537 304735074 355524253 711048506 1066572759 2133145518