Search a number
-
+
5723312073700 = 22521317376999281
BaseRepresentation
bin101001101001000111111…
…1110111010101111100100
3202021010212110101120101011
41103102033332322233210
51222232320342324300
620101130412312004
71130332002642124
oct123221776725744
922233773346334
105723312073700
111907274506171
12785271772604
13326924157850
1415b01cbb2c84
159dd231ceeba
hex5348ffbabe4

5723312073700 has 144 divisors (see below), whose sum is σ = 14544452001744. Its totient is φ = 1935160934400.

The previous prime is 5723312073667. The next prime is 5723312073709. The reversal of 5723312073700 is 73702133275.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 4655962741824 + 1067349331876 = 2157768^2 + 1033126^2 .

It is not an unprimeable number, because it can be changed into a prime (5723312073709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2681941 + ... + 4317340.

It is an arithmetic number, because the mean of its divisors is an integer number (101003138901).

Almost surely, 25723312073700 is an apocalyptic number.

5723312073700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5723312073700 is an abundant number, since it is smaller than the sum of its proper divisors (8821139928044).

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

5723312073700 is a wasteful number, since it uses less digits than its factorization.

5723312073700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999362 (or 6999355 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 40.

The spelling of 5723312073700 in words is "five trillion, seven hundred twenty-three billion, three hundred twelve million, seventy-three thousand, seven hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 37 50 52 65 68 74 85 100 130 148 170 185 221 260 325 340 370 425 442 481 629 650 740 850 884 925 962 1105 1258 1300 1700 1850 1924 2210 2405 2516 3145 3700 4420 4810 5525 6290 8177 9620 11050 12025 12580 15725 16354 22100 24050 31450 32708 40885 48100 62900 81770 163540 204425 408850 817700 6999281 13998562 27997124 34996405 69992810 90990653 118987777 139985620 174982025 181981306 237975554 258973397 349964050 363962612 454953265 475951108 517946794 594938885 699928100 909906530 1035893588 1189877770 1294866985 1546841101 1819813060 2274766325 2379755540 2589733970 2974694425 3093682202 3366654161 4402547749 4549532650 5179467940 5949388850 6187364404 6474334925 6733308322 7734205505 8805095498 9099065300 11898777700 12948669850 13466616644 15468411010 16833270805 17610190996 22012738745 25897339700 30936822020 33666541610 38671027525 44025477490 57233120737 67333083220 77342055050 84166354025 88050954980 110063693725 114466241474 154684110100 168332708050 220127387450 228932482948 286165603685 336665416100 440254774900 572331207370 1144662414740 1430828018425 2861656036850 5723312073700