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26244217113921 = 3259210322812
BaseRepresentation
bin1011111011110011101010…
…01111010000110101000001
310102220220220121120212022100
411331321311033100311001
511414441124040121141
6131452232113301013
75346040110530502
oct575716517206501
9112826817525270
1026244217113921
1183a9123414844
122b3a37b264769
131184a85603821
1466a326808ba9
15307a140da0b6
hex17de753d0d41

26244217113921 has 81 divisors (see below), whose sum is σ = 39078806612547. Its totient is φ = 16971999226560.

The previous prime is 26244217113887. The next prime is 26244217113923. The reversal of 26244217113921 is 12931171244262.

The square root of 26244217113921 is 5122911.

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

26244217113921 is a `hidden beast` number, since 2 + 6 + 2 + 4 + 421 + 71 + 139 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17735561472321 + 8508655641600 = 4211361^2 + 2916960^2 .

It is not a de Polignac number, because 26244217113921 - 29 = 26244217113409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26244217113923) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 93395790301 + ... + 93395790581.

Almost surely, 226244217113921 is an apocalyptic number.

26244217113921 is the 5122911-st square number.

26244217113921 is the 2561456-th centered octagonal number.

It is an amenable number.

26244217113921 is a deficient number, since it is larger than the sum of its proper divisors (12834589498626).

26244217113921 is an frugal number, since it uses more digits than its factorization.

26244217113921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 446 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 26244217113921 in words is "twenty-six trillion, two hundred forty-four billion, two hundred seventeen million, one hundred thirteen thousand, nine hundred twenty-one".

Divisors: 1 3 9 59 103 177 281 309 531 843 927 2529 3481 6077 10443 10609 16579 18231 28943 31329 31827 49737 54693 78961 86829 95481 149211 236883 260487 358543 625931 710649 978161 1075629 1707637 1877793 2934483 2981129 3226887 4658699 5122911 5633379 8132983 8803449 8943387 13976097 15368733 24398949 26830161 36929929 41928291 73196847 100750583 110789787 175886611 274863241 302251749 332369361 479845997 527659833 824589723 837697249 906755247 1439537991 1582979499 2473769169 2513091747 4318613973 7539275241 10377310049 28310913823 31131930147 49424137691 84932741469 93395790441 148272413073 254798224407 444817239219 2916024123769 8748072371307 26244217113921