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838106056221 = 3723727158657
BaseRepresentation
bin11000011001000110000…
…00111000011000011101
32222010022001101222001020
430030203000320120131
5102212420122244341
61441004241234353
7114360022635600
oct14144300703035
92863261358036
10838106056221
112a3491023845
121165200329b9
1361057838b35
142c7c91a4337
1516c038b5566
hexc32303861d

838106056221 has 72 divisors (see below), whose sum is σ = 1354842127296. Its totient is φ = 459403176960.

The previous prime is 838106056169. The next prime is 838106056261. The reversal of 838106056221 is 122650601838.

It is not a de Polignac number, because 838106056221 - 227 = 837971838493 is a prime.

It is a super-2 number, since 2×8381060562212 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838106056261) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14258925 + ... + 14317581.

It is an arithmetic number, because the mean of its divisors is an integer number (18817251768).

Almost surely, 2838106056221 is an apocalyptic number.

It is an amenable number.

838106056221 is a deficient number, since it is larger than the sum of its proper divisors (516736071075).

838106056221 is a wasteful number, since it uses less digits than its factorization.

838106056221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58819 (or 58775 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 838106056221 in words is "eight hundred thirty-eight billion, one hundred six million, fifty-six thousand, two hundred twenty-one".

Divisors: 1 3 7 21 37 49 71 111 147 213 259 497 777 1369 1491 1813 2627 3479 4107 5439 7881 9583 10437 18389 28749 55167 58657 67081 97199 128723 175971 201243 291597 386169 410599 680393 1231797 2041179 2170309 2874193 4164647 4762751 6510927 8622579 12493941 14288253 15192163 29152529 45576489 80301433 87457587 106345141 154091939 204067703 240904299 319035423 462275817 562110031 612203109 1078643573 1686330093 3235930719 3934770217 5701401743 7550505011 11804310651 17104205229 22651515033 39909812201 119729436603 279368685407 838106056221