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219517945235044 = 22712103210132
BaseRepresentation
bin110001111010011010000001…
…001001011100011001100100
31001210020201012001000020121121
4301322122001021130121210
5212233040222440010134
62054513052445023324
764144435215420421
oct6172320111343144
91053221161006547
10219517945235044
1163a4404629a655
122075406b854b44
1395645b81bc211
143c2ca220b0d48
151a5a27397dab4
hexc7a68125c664

219517945235044 has 81 divisors (see below), whose sum is σ = 393851733044889. Its totient is φ = 107056672023840.

The previous prime is 219517945235003. The next prime is 219517945235047. The reversal of 219517945235044 is 440532549715912.

The square root of 219517945235044 is 14816138.

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., 433187748900 + 219084757486144 = 658170^2 + 14801512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (219517945235047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 216700833882 + ... + 216700834894.

Almost surely, 2219517945235044 is an apocalyptic number.

219517945235044 is the 14816138-th square number.

It is an amenable number.

219517945235044 is a deficient number, since it is larger than the sum of its proper divisors (174333787809845).

219517945235044 is an frugal number, since it uses more digits than its factorization.

219517945235044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 61.

The spelling of 219517945235044 in words is "two hundred nineteen trillion, five hundred seventeen billion, nine hundred forty-five million, two hundred thirty-five thousand, forty-four".

Divisors: 1 2 4 71 103 142 206 284 412 1013 2026 4052 5041 7313 10082 10609 14626 20164 21218 29252 42436 71923 104339 143846 208678 287692 417356 519223 753239 1026169 1038446 1506478 2052338 2076892 3012956 4104676 5106533 7408069 10213066 10746917 14816138 20426132 21493834 29632276 42987668 53479969 72857999 105695407 106959938 145715998 211390814 213919876 291431996 422781628 525972899 763031107 1051945798 1526062214 2103891596 3052124428 5172917929 7504373897 10345835858 10886626921 15008747794 20691671716 21773253842 30017495588 43546507684 54175208597 108350417194 216700834388 532810546687 772950511391 1065621093374 1545901022782 2131242186748 3091802045564 54879486308761 109758972617522 219517945235044