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5661235267440 = 2435173973314009
BaseRepresentation
bin101001001100001101111…
…1010101100011101110000
3202001012122012221002000120
41102120123322230131300
51220223202212024230
620012422515050240
71123003454540514
oct122303372543560
922035565832016
105661235267440
111892a097a18a5
127752282a0980
13320b1037081c
14158010590144
159c3dd497310
hex5261beac770

5661235267440 has 160 divisors (see below), whose sum is σ = 17654347103040. Its totient is φ = 1500675022848.

The previous prime is 5661235267433. The next prime is 5661235267453. The reversal of 5661235267440 is 447625321665.

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, 404107156 + ... + 404121164.

It is an arithmetic number, because the mean of its divisors is an integer number (110339669394).

Almost surely, 25661235267440 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 5661235267440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8827173551520).

5661235267440 is an abundant number, since it is smaller than the sum of its proper divisors (11993111835600).

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

5661235267440 is a wasteful number, since it uses less digits than its factorization.

5661235267440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23931 (or 23925 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 5661235267440 in words is "five trillion, six hundred sixty-one billion, two hundred thirty-five million, two hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 173 240 346 519 692 865 1038 1384 1730 2076 2595 2768 3460 4152 5190 6920 8304 9733 10380 13840 14009 19466 20760 28018 29199 38932 41520 42027 48665 56036 58398 70045 77864 84054 97330 112072 116796 140090 145995 155728 168108 194660 210135 224144 233592 280180 291990 336216 389320 420270 467184 560360 583980 672432 778640 840540 1120720 1167960 1681080 1683809 2335920 2423557 3362160 3367618 4847114 5051427 6735236 7270671 8419045 9694228 10102854 12117785 13470472 14541342 16838090 19388456 20205708 24235570 25257135 26940944 29082684 33676180 36353355 38776912 40411416 48471140 50514270 58165368 67352360 72706710 80822832 96942280 101028540 116330736 134704720 136349597 145413420 193884560 202057080 272699194 290826840 404114160 409048791 545398388 581653680 681747985 818097582 1090796776 1363495970 1636195164 2045243955 2181593552 2726991940 3272390328 4090487910 5453983880 6544780656 8180975820 10907967760 16361951640 23588480281 32723903280 47176960562 70765440843 94353921124 117942401405 141530881686 188707842248 235884802810 283061763372 353827204215 377415684496 471769605620 566123526744 707654408430 943539211240 1132247053488 1415308816860 1887078422480 2830617633720 5661235267440