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264973438912 = 26713254317891
BaseRepresentation
bin1111011011000110100…
…1011100111111000000
3221022221110021100211211
43312301221130333000
513320131200021122
6321421020215504
725100201032420
oct3666151347700
9838843240754
10264973438912
11a2413664556
124342b09a594
131bcaa268310
14cb792c0480
156d5c633877
hex3db1a5cfc0

264973438912 has 112 divisors (see below), whose sum is σ = 647437335552. Its totient is φ = 104777579520.

The previous prime is 264973438867. The next prime is 264973438913. The reversal of 264973438912 is 219834379462.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264973438913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14801487 + ... + 14819377.

It is an arithmetic number, because the mean of its divisors is an integer number (5780690496).

Almost surely, 2264973438912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264973438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323718667776).

264973438912 is an abundant number, since it is smaller than the sum of its proper divisors (382463896640).

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

264973438912 is a wasteful number, since it uses less digits than its factorization.

264973438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20466 (or 20456 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 58.

The spelling of 264973438912 in words is "two hundred sixty-four billion, nine hundred seventy-three million, four hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2543 2912 5086 5824 10172 17801 17891 20344 33059 35602 35782 40688 66118 71204 71564 81376 125237 132236 142408 143128 162752 231413 232583 250474 264472 284816 286256 462826 465166 500948 528944 569632 572512 925652 930332 1001896 1057888 1139264 1145024 1628081 1851304 1860664 2003792 2115776 3256162 3702608 3721328 4007584 6512324 7405216 7442656 8015168 13024648 14810432 14885312 26049296 45496813 52098592 90993626 104197184 181987252 318477691 363974504 591458569 636955382 727949008 1182917138 1273910764 1455898016 2365834276 2547821528 2911796032 4140209983 4731668552 5095643056 8280419966 9463337104 10191286112 16560839932 18926674208 20382572224 33121679864 37853348416 66243359728 132486719456 264973438912