Search a number
-
+
200367238781568 = 2737947317139589
BaseRepresentation
bin101101100011101110100010…
…000101111001101010000000
3222021102220212101012002120210
4231203232202011321222000
5202230304101112002233
61550051234435034120
760130024651413255
oct5543564205715200
9867386771162523
10200367238781568
11589302a5802411
121a58061aa3b940
1387a571b465c71
143769b7cb7142c
151827029735163
hexb63ba2179a80

200367238781568 has 128 divisors (see below), whose sum is σ = 538977760992000. Its totient is φ = 65941782147072.

The previous prime is 200367238781539. The next prime is 200367238781573. The reversal of 200367238781568 is 865187832763002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 200367238781499 and 200367238781508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1435338718 + ... + 1435478306.

It is an arithmetic number, because the mean of its divisors is an integer number (4210763757750).

Almost surely, 2200367238781568 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 200367238781568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269488880496000).

200367238781568 is an abundant number, since it is smaller than the sum of its proper divisors (338610522210432).

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

200367238781568 is a wasteful number, since it uses less digits than its factorization.

200367238781568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187002 (or 186990 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 200367238781568 in words is "two hundred trillion, three hundred sixty-seven billion, two hundred thirty-eight million, seven hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 47317 94634 139589 141951 189268 279178 283902 378536 418767 558356 567804 757072 837534 1116712 1135608 1514144 1675068 2233424 2271216 3028288 3350136 3738043 4466848 4542432 6056576 6700272 7476086 8933696 9084864 11027531 11214129 13400544 14952172 17867392 18169728 22055062 22428258 26801088 29904344 33082593 44110124 44856516 53602176 59808688 66165186 88220248 89713032 119617376 132330372 176440496 179426064 239234752 264660744 352880992 358852128 478469504 529321488 705761984 717704256 1058642976 1411523968 1435408512 2117285952 4234571904 6604932713 13209865426 19814798139 26419730852 39629596278 52839461704 79259192556 105678923408 158518385112 211357846816 317036770224 422715693632 521789684327 634073540448 845431387264 1043579368654 1268147080896 1565369052981 2087158737308 2536294161792 3130738105962 4174317474616 6261476211924 8348634949232 12522952423848 16697269898464 25045904847696 33394539796928 50091809695392 66789079593856 100183619390784 200367238781568