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26922870494064 = 2433418391811723
BaseRepresentation
bin1100001111100011110000…
…01000011101001101110000
310112022210122010122121122000
412013301320020131031300
512012101014321302224
6133132110154414000
75446053554220636
oct607617010351560
9115283563577560
1026922870494064
11863aa1a574a46
1230299baa31300
131203a7b3b714c
14691106a4d356
1531a4d40c80c9
hex187c7821d370

26922870494064 has 160 divisors (see below), whose sum is σ = 79257852172800. Its totient is φ = 8744964687360.

The previous prime is 26922870494053. The next prime is 26922870494071. The reversal of 26922870494064 is 46049407822962.

26922870494064 is a `hidden beast` number, since 2 + 6 + 9 + 2 + 2 + 87 + 0 + 494 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26922870493992 and 26922870494010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13954507 + ... + 15766229.

It is an arithmetic number, because the mean of its divisors is an integer number (495361576080).

Almost surely, 226922870494064 is an apocalyptic number.

26922870494064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26922870494064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39628926086400).

26922870494064 is an abundant number, since it is smaller than the sum of its proper divisors (52334981678736).

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

26922870494064 is a wasteful number, since it uses less digits than its factorization.

26922870494064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812620 (or 1812608 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 26922870494064 in words is "twenty-six trillion, nine hundred twenty-two billion, eight hundred seventy million, four hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 839 984 1107 1476 1678 1968 2214 2517 2952 3356 4428 5034 5904 6712 7551 8856 10068 13424 15102 17712 20136 22653 30204 34399 40272 45306 60408 68798 90612 103197 120816 137596 181224 206394 275192 309591 362448 412788 550384 619182 825576 928773 1238364 1651152 1811723 1857546 2476728 3623446 3715092 4953456 5435169 7246892 7430184 10870338 14493784 14860368 16305507 21740676 28987568 32611014 43481352 48916521 65222028 74280643 86962704 97833042 130444056 148561286 195666084 222841929 260888112 297122572 391332168 445683858 594245144 668525787 782664336 891367716 1188490288 1337051574 1520035597 1782735432 2005577361 2674103148 3040071194 3565470864 4011154722 4560106791 5348206296 6080142388 8022309444 9120213582 10696412592 12160284776 13680320373 16044618888 18240427164 24320569552 27360640746 32089237776 36480854328 41040961119 54721281492 62321459477 72961708656 82081922238 109442562984 124642918954 164163844476 186964378431 218885125968 249285837908 328327688952 373928756862 498571675816 560893135293 656655377904 747857513724 997143351632 1121786270586 1495715027448 1682679405879 2243572541172 2991430054896 3365358811758 4487145082344 6730717623516 8974290164688 13461435247032 26922870494064