Search a number
-
+
211750906896 = 243231212372
BaseRepresentation
bin1100010100110101010…
…1100110110000010000
3202020120021200121100100
43011031111212300100
511432131213010041
6241135500452400
721204246003534
oct3051525466020
9666507617310
10211750906896
1181891959501
1235056b4a100
1316c7799b019
14a36a9bbbc4
155794dde6b6
hex314d566c10

211750906896 has 135 divisors (see below), whose sum is σ = 612836921853. Its totient is φ = 68251524480.

The previous prime is 211750906879. The next prime is 211750906901. The reversal of 211750906896 is 698609057112.

The square root of 211750906896 is 460164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 159920010000 + 51830896896 = 399900^2 + 227664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 171180390 + ... + 171181626.

Almost surely, 2211750906896 is an apocalyptic number.

211750906896 is the 460164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211750906896

211750906896 is an abundant number, since it is smaller than the sum of its proper divisors (401086014957).

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

211750906896 is an equidigital number, since it uses as much as digits as its factorization.

211750906896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 211750906896 in words is "two hundred eleven billion, seven hundred fifty million, nine hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1116 1237 1488 1922 2232 2474 2883 3711 3844 4464 4948 5766 7422 7688 8649 9896 11133 11532 14844 15376 17298 19792 22266 23064 29688 34596 38347 44532 46128 59376 69192 76694 89064 115041 138384 153388 178128 230082 306776 345123 460164 613552 690246 920328 1188757 1380492 1530169 1840656 2377514 2760984 3060338 3566271 4590507 4755028 5521968 6120676 7132542 9181014 9510056 10698813 12241352 13771521 14265084 18362028 19020112 21397626 24482704 27543042 28530168 36724056 42795252 47435239 55086084 57060336 73448112 85590504 94870478 110172168 142305717 171181008 189740956 220344336 284611434 379481912 426917151 569222868 758963824 853834302 1138445736 1470492409 1707668604 2276891472 2940984818 3415337208 4411477227 5881969636 6830674416 8822954454 11763939272 13234431681 17645908908 23527878544 26468863362 35291817816 52937726724 70583635632 105875453448 211750906896