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23089521320334 = 23271738111306103
BaseRepresentation
bin1010011111111111100101…
…01101110110000110001110
310000202100002102220001011200
411033333302231312012032
511011244314424222314
6121035102450130330
74602106601654010
oct517776255660616
9100670072801150
1023089521320334
1173a223592a777
12270aaa1b809a6
13cb64427071b1
1459b77864a1b0
152a0928900709
hex14fff2b7618e

23089521320334 has 96 divisors (see below), whose sum is σ = 57575488449024. Its totient is φ = 6550780703040.

The previous prime is 23089521320329. The next prime is 23089521320401. The reversal of 23089521320334 is 43302312598032.

23089521320334 is a `hidden beast` number, since 2 + 3 + 0 + 89 + 5 + 213 + 20 + 334 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23089521320334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17025127 + ... + 18331229.

It is an arithmetic number, because the mean of its divisors is an integer number (599744671344).

Almost surely, 223089521320334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23089521320334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28787744224512).

23089521320334 is an abundant number, since it is smaller than the sum of its proper divisors (34485967128690).

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

23089521320334 is a wasteful number, since it uses less digits than its factorization.

23089521320334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307102 (or 1307099 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 23089521320334 in words is "twenty-three trillion, eighty-nine billion, five hundred twenty-one million, three hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 173 346 519 811 1038 1211 1557 1622 2422 2433 3114 3633 4866 5677 7266 7299 10899 11354 14598 17031 21798 34062 51093 102186 140303 280606 420909 841818 982121 1262727 1306103 1964242 2525454 2612206 2946363 3918309 5892726 7836618 8839089 9142721 11754927 17678178 18285442 23509854 27428163 54856326 82284489 164568978 225955819 451911638 677867457 1059249533 1355734914 1581690733 2033602371 2118499066 3163381466 3177748599 4067204742 4745072199 6355497198 7414746731 9490144398 9533245797 14235216597 14829493462 19066491594 22244240193 28470433194 44488480386 66732720579 133465441158 183250169209 366500338418 549750507627 1099501015254 1282751184463 1649251522881 2565502368926 3298503045762 3848253553389 7696507106778 11544760660167 23089521320334