Search a number
-
+
221716163664352 = 2571971733731877
BaseRepresentation
bin110010011010011001010001…
…001011010001100111100000
31002002000212011122210121112101
4302122121101023101213200
5213030044200344224402
62103314555514540144
764462315136653030
oct6232312113214740
91062025148717471
10221716163664352
116471132a295165
1220a4a0b2737654
13969398a935bc6
143ca71961a58c0
151a9752d7b7b87
hexc9a6512d19e0

221716163664352 has 96 divisors (see below), whose sum is σ = 532513247777280. Its totient is φ = 88752207720960.

The previous prime is 221716163664313. The next prime is 221716163664383. The reversal of 221716163664352 is 253466361617122.

It is a junction number, because it is equal to n+sod(n) for n = 221716163664293 and 221716163664302.

It is a congruent number.

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, 366563763 + ... + 367168114.

It is an arithmetic number, because the mean of its divisors is an integer number (5547012997680).

Almost surely, 2221716163664352 is an apocalyptic number.

It is an amenable number.

221716163664352 is an abundant number, since it is smaller than the sum of its proper divisors (310797084112928).

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

221716163664352 is a wasteful number, since it uses less digits than its factorization.

221716163664352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733731984 (or 733731976 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 55.

The spelling of 221716163664352 in words is "two hundred twenty-one trillion, seven hundred sixteen billion, one hundred sixty-three million, six hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 71 76 112 133 142 152 224 266 284 304 497 532 568 608 994 1064 1136 1349 1988 2128 2272 2698 3976 4256 5396 7952 9443 10792 15904 18886 21584 37772 43168 75544 151088 302176 733731877 1467463754 2934927508 5136123139 5869855016 10272246278 11739710032 13940905663 20544492556 23479420064 27881811326 41088985112 52094963267 55763622652 82177970224 97586339641 104189926534 111527245304 164355940448 195172679282 208379853068 223054490608 364664742869 390345358564 416759706136 446108981216 729329485738 780690717128 833519412272 989804302073 1458658971476 1561381434256 1667038824544 1979608604146 2917317942952 3122762868512 3959217208292 5834635885904 6928630114511 7918434416584 11669271771808 13857260229022 15836868833168 27714520458044 31673737666336 55429040916088 110858081832176 221716163664352