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211711346816 = 2719671299289
BaseRepresentation
bin1100010100101011111…
…0101100100010000000
3202020110112020202010012
43011022332230202000
511432041101044231
6241131524524052
721203255520164
oct3051276544200
9666415222105
10211711346816
1181871599422
1235045850628
1316c6c7297a8
14a365640ca4
1557916c7e2b
hex314afac880

211711346816 has 64 divisors (see below), whose sum is σ = 450593772000. Its totient is φ = 98787465216.

The previous prime is 211711346813. The next prime is 211711346843. The reversal of 211711346816 is 618643117112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (211711346813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486701 + ... + 812588.

Almost surely, 2211711346816 is an apocalyptic number.

It is an amenable number.

211711346816 is an abundant number, since it is smaller than the sum of its proper divisors (238882425184).

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

211711346816 is a wasteful number, since it uses less digits than its factorization.

211711346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299389 (or 1299377 counting only the distinct ones).

The product of its digits is 48384, while the sum is 41.

The spelling of 211711346816 in words is "two hundred eleven billion, seven hundred eleven million, three hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 128 134 152 268 304 536 608 1072 1216 1273 2144 2432 2546 4288 5092 8576 10184 20368 40736 81472 162944 1299289 2598578 5197156 10394312 20788624 24686491 41577248 49372982 83154496 87052363 98745964 166308992 174104726 197491928 348209452 394983856 696418904 789967712 1392837808 1579935424 1653994897 2785675616 3159870848 3307989794 5571351232 6615979588 11142702464 13231959176 26463918352 52927836704 105855673408 211711346816