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5673631245840 = 2432540993192229
BaseRepresentation
bin101001010001111111011…
…0001100110011000010000
3202002101122010011000121200
41102203332301212120100
51220424044044331330
620022232531551200
71123622604606315
oct122437661463020
922071563130550
105673631245840
11189819aa21948
1277770775b500
1332203756929c
14158868a06d0c
159c8b6884a60
hex528fec66610

5673631245840 has 120 divisors (see below), whose sum is σ = 19054508867160. Its totient is φ = 1512923553792.

The previous prime is 5673631245761. The next prime is 5673631245917. The reversal of 5673631245840 is 485421363765.

5673631245840 is a `hidden beast` number, since 5 + 6 + 7 + 3 + 6 + 31 + 24 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61678715904 + 5611952529936 = 248352^2 + 2368956^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 29418846 + ... + 29611074.

It is an arithmetic number, because the mean of its divisors is an integer number (158787573893).

Almost surely, 25673631245840 is an apocalyptic number.

It is an amenable number.

5673631245840 is an abundant number, since it is smaller than the sum of its proper divisors (13380877621320).

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

5673631245840 is a wasteful number, since it uses less digits than its factorization.

5673631245840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233241 (or 233232 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5673631245840 in words is "five trillion, six hundred seventy-three billion, six hundred thirty-one million, two hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 40993 81986 122979 163972 192229 204965 245958 327944 368937 384458 409930 491916 576687 614895 655888 737874 768916 819860 961145 983832 1153374 1229790 1475748 1537832 1639720 1730061 1844685 1922290 1967664 2306748 2459580 2883435 2951496 3075664 3279440 3460122 3689370 3844580 4613496 4919160 5766870 5902992 6920244 7378740 7689160 8650305 9226992 9838320 11533740 13840488 14757480 15378320 17300610 23067480 27680976 29514960 34601220 46134960 69202440 138404880 7880043397 15760086794 23640130191 31520173588 39400216985 47280260382 63040347176 70920390573 78800433970 94560520764 118200650955 126080694352 141840781146 157600867940 189121041528 236401301910 283681562292 315201735880 354601952865 378242083056 472802603820 567363124584 630403471760 709203905730 945605207640 1134726249168 1418407811460 1891210415280 2836815622920 5673631245840