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211316940288 = 293323664619
BaseRepresentation
bin1100010011001101111…
…0001001111000000000
3202012110001002211002000
43010303132021320000
511430234114042123
6241024435224000
721160426233006
oct3046336117000
9665401084060
10211316940288
11816899a3a13
1234b55748000
1316c08ac614c
14a3290d4a76
15576bc6bb43
hex3133789e00

211316940288 has 160 divisors (see below), whose sum is σ = 652710009600. Its totient is φ = 67376314368.

The previous prime is 211316940281. The next prime is 211316940319. The reversal of 211316940288 is 882049613112.

211316940288 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 169 + 402 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211316940281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14358 + ... + 650261.

It is an arithmetic number, because the mean of its divisors is an integer number (4079437560).

Almost surely, 2211316940288 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 211316940288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326355004800).

211316940288 is an abundant number, since it is smaller than the sum of its proper divisors (441393069312).

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

211316940288 is an equidigital number, since it uses as much as digits as its factorization.

211316940288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664669 (or 664647 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 211316940288 in words is "two hundred eleven billion, three hundred sixteen million, nine hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1104 1152 1242 1472 1536 1656 1728 2208 2304 2484 2944 3312 3456 4416 4608 4968 5888 6624 6912 8832 9936 11776 13248 13824 17664 19872 26496 35328 39744 52992 79488 105984 158976 317952 664619 1329238 1993857 2658476 3987714 5316952 5981571 7975428 10633904 11963142 15286237 15950856 17944713 21267808 23926284 30572474 31901712 35889426 42535616 45858711 47852568 61144948 63803424 71778852 85071232 91717422 95705136 122289896 127606848 137576133 143557704 170142464 183434844 191410272 244579792 255213696 275152266 287115408 340284928 366869688 382820544 412728399 489159584 510427392 550304532 574230816 733739376 765641088 825456798 978319168 1020854784 1100609064 1148461632 1467478752 1531282176 1650913596 1956638336 2201218128 2296923264 2934957504 3062564352 3301827192 3913276672 4402436256 4593846528 5869915008 6603654384 7826553344 8804872512 9187693056 11739830016 13207308768 17609745024 23479660032 26414617536 35219490048 52829235072 70438980096 105658470144 211316940288