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194247968920369 = 7213223266592
BaseRepresentation
bin101100001010101011100001…
…001011111001001100110001
3221110202220221221100211022221
4230022223201023321030301
5200430024320020422434
61525044141321001041
755625644515665200
oct5412534113711461
9843686857324287
10194247968920369
115699111246aa41
1219952683923181
138450674281400
1435d791a9bb237
15176cc7e96e2b4
hexb0aae12f9331

194247968920369 has 81 divisors (see below), whose sum is σ = 255819903374763. Its totient is φ = 146986419644064.

The previous prime is 194247968920363. The next prime is 194247968920393. The reversal of 194247968920369 is 963029869742491.

The square root of 194247968920369 is 13937287.

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

It can be written as a sum of positive squares in only one way, i.e., 28734906645025 + 165513062275344 = 5360495^2 + 12865188^2 .

It is not a de Polignac number, because 194247968920369 - 29 = 194247968919857 is a prime.

It is a super-2 number, since 2×1942479689203692 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (194247968920363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29170738362 + ... + 29170745020.

Almost surely, 2194247968920369 is an apocalyptic number.

194247968920369 is the 13937287-th square number.

194247968920369 is the 6968644-th centered octagonal number.

It is an amenable number.

194247968920369 is a deficient number, since it is larger than the sum of its proper divisors (61571934454394).

194247968920369 is an frugal number, since it uses more digits than its factorization.

194247968920369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13404 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 2539579392, while the sum is 79.

The spelling of 194247968920369 in words is "one hundred ninety-four trillion, two hundred forty-seven billion, nine hundred sixty-eight million, nine hundred twenty thousand, three hundred sixty-nine".

Divisors: 1 7 13 23 49 91 161 169 299 529 637 1127 1183 2093 3703 3887 6659 6877 8281 14651 25921 27209 46613 48139 86567 89401 153157 190463 326291 336973 605969 625807 1072099 1125371 1991041 3522611 4241783 4380649 7504693 7877597 13937287 24658277 25883533 44342281 45793943 55143179 97561009 172607939 181184731 310395967 320557601 576449653 595321259 1019872463 1268293117 2172771769 2243903207 4035147571 4167248813 7139107241 7493845489 13258342019 23457066649 28246032997 29170741691 49973750687 52456918423 92808394133 164199466543 172358446247 304941866437 367198428961 649658758931 1149396265801 1206509123729 2134593065059 3964244263681 8445563866103 14942151455413 27749709845767 194247968920369