Search a number
-
+
213372317712 = 243291634871931
BaseRepresentation
bin1100011010110111111…
…0110011000000010000
3202101202021122210211210
43012231332303000100
511443441303131322
6242004421140120
721262364530011
oct3065576630020
9671667583753
10213372317712
1182544124444
1235429b5a640
131717588c3c8
14a482087008
15583c41c70c
hex31adfb3010

213372317712 has 160 divisors (see below), whose sum is σ = 575193185280. Its totient is φ = 68074836480.

The previous prime is 213372317707. The next prime is 213372317713. The reversal of 213372317712 is 217713273312.

It is not an unprimeable number, because it can be changed into a prime (213372317713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110497387 + ... + 110499317.

It is an arithmetic number, because the mean of its divisors is an integer number (3594957408).

Almost surely, 2213372317712 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 213372317712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287596592640).

213372317712 is an abundant number, since it is smaller than the sum of its proper divisors (361820867568).

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

213372317712 is a wasteful number, since it uses less digits than its factorization.

213372317712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2615 counting only the distinct ones).

The product of its digits is 74088, while the sum is 39.

The spelling of 213372317712 in words is "two hundred thirteen billion, three hundred seventy-two million, three hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 163 174 232 326 348 464 487 489 652 696 974 978 1304 1392 1461 1931 1948 1956 2608 2922 3862 3896 3912 4727 5793 5844 7724 7792 7824 9454 11586 11688 14123 14181 15448 18908 23172 23376 28246 28362 30896 37816 42369 46344 55999 56492 56724 75632 79381 84738 92688 111998 112984 113448 158762 167997 169476 223996 225968 226896 238143 314753 317524 335994 338952 447992 476286 629506 635048 671988 677904 895984 940397 944259 952572 1259012 1270096 1343976 1880794 1888518 1905144 2302049 2518024 2687952 2821191 3761588 3777036 3810288 4604098 5036048 5642382 6906147 7523176 7554072 9127837 9208196 11284764 13812294 15046352 15108144 18255674 18416392 22569528 27271513 27383511 27624588 36511348 36832784 45139056 54543026 54767022 55249176 73022696 81814539 109086052 109534044 110498352 146045392 153284711 163629078 218172104 219068088 306569422 327258156 436344208 438136176 459854133 613138844 654516312 919708266 1226277688 1309032624 1839416532 2452555376 3678833064 4445256619 7357666128 8890513238 13335769857 17781026476 26671539714 35562052952 53343079428 71124105904 106686158856 213372317712