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216887827860544 = 26397246372
BaseRepresentation
bin110001010100001000100001…
…111011111000110001000000
31001102221021101122011012020111
4301110020201323320301000
5211411442232413014134
62045140520445521104
763453425363540641
oct6124104173706100
91042837348135214
10216887827860544
116311a67a634025
12203aa392873194
13940358551a6b9
143b7b5d94db6c8
151a11b3ba71c64
hexc54221ef8c40

216887827860544 has 63 divisors (see below), whose sum is σ = 431566682057823. Its totient is φ = 108147427711488.

The previous prime is 216887827860527. The next prime is 216887827860547. The reversal of 216887827860544 is 445068728788612.

The square root of 216887827860544 is 14727112.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1620243860544 + 215267584000000 = 1272888^2 + 14672000^2 .

It is a super-2 number, since 2×2168878278605442 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216887827860547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46773305394 + ... + 46773310030.

Almost surely, 2216887827860544 is an apocalyptic number.

216887827860544 is the 14727112-nd square number.

It is an amenable number.

216887827860544 is a deficient number, since it is larger than the sum of its proper divisors (214678854197279).

216887827860544 is an frugal number, since it uses more digits than its factorization.

216887827860544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 2312110080, while the sum is 76.

The spelling of 216887827860544 in words is "two hundred sixteen trillion, eight hundred eighty-seven billion, eight hundred twenty-seven million, eight hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 397 794 1588 3176 4637 6352 9274 12704 18548 25408 37096 74192 148384 157609 296768 315218 630436 1260872 1840889 2521744 3681778 5043488 7363556 10086976 14727112 21501769 29454224 43003538 58908448 86007076 117816896 172014152 344028304 688056608 730832933 1376113216 1461665866 2923331732 5846663464 8536202293 11693326928 17072404586 23386653856 34144809172 46773307712 68289618344 136579236688 273158473376 546316946752 3388872310321 6777744620642 13555489241284 27110978482568 54221956965136 108443913930272 216887827860544