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266433343334664 = 233118915772226237
BaseRepresentation
bin111100100101000111011000…
…110010010010100100001000
31021221100210000210111101202120
4330211013120302102210020
5234410220441343202124
62342353442130331240
7110056113423453612
oct7445073062224410
91257323023441676
10266433343334664
1177991823456030
1225a70697729b20
13b5887307461cc
1449b162a7b3db2
1520c08218aed79
hexf251d8c92908

266433343334664 has 128 divisors (see below), whose sum is σ = 739481115139200. Its totient is φ = 79321741424640.

The previous prime is 266433343334663. The next prime is 266433343334723. The reversal of 266433343334664 is 466433343334662.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 266433343334598 and 266433343334607.

It is not an unprimeable number, because it can be changed into a prime (266433343334663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32424247 + ... + 39801990.

It is an arithmetic number, because the mean of its divisors is an integer number (5777196212025).

Almost surely, 2266433343334664 is an apocalyptic number.

266433343334664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

266433343334664 is an abundant number, since it is smaller than the sum of its proper divisors (473047771804536).

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

266433343334664 is a wasteful number, since it uses less digits than its factorization.

266433343334664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72226503 (or 72226499 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 60.

The spelling of 266433343334664 in words is "two hundred sixty-six trillion, four hundred thirty-three billion, three hundred forty-three million, three hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 157 178 264 267 314 356 471 534 628 712 942 979 1068 1256 1727 1884 1958 2136 2937 3454 3768 3916 5181 5874 6908 7832 10362 11748 13816 13973 20724 23496 27946 41448 41919 55892 83838 111784 153703 167676 307406 335352 461109 614812 922218 1229624 1844436 3688872 72226237 144452474 216678711 288904948 433357422 577809896 794488607 866714844 1588977214 1733429688 2383465821 3177954428 4766931642 6355908856 6428135093 9533863284 11339519209 12856270186 19067726568 19284405279 22679038418 25712540372 34018557627 38568810558 45358076836 51425080744 68037115254 70709486023 77137621116 90716153672 124734711299 136074230508 141418972046 154275242232 212128458069 249469422598 272148461016 282837944092 374204133897 424256916138 498938845196 565675888184 748408267794 848513832276 997877690392 1009217209601 1496816535588 1697027664552 2018434419202 2993633071176 3027651628803 4036868838404 6055303257606 8073737676808 11101389305611 12110606515212 22202778611222 24221213030424 33304167916833 44405557222444 66608335833666 88811114444888 133216671667332 266433343334664