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23135454344544 = 2532325667408229
BaseRepresentation
bin1010100001010101001001…
…00010011011010101100000
310000220201122120222102211120
411100222210202123111200
511013022402303011134
6121112140410212240
74605324061143333
oct520524442332540
9100821576872746
1023135454344544
11740a766923703
122717980a24080
13cba882a05369
1459da94b9061a
152a1c161e0649
hex150aa489b560

23135454344544 has 96 divisors (see below), whose sum is σ = 63373651326720. Its totient is φ = 7376216212992.

The previous prime is 23135454344531. The next prime is 23135454344579. The reversal of 23135454344544 is 44544345453132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56468622 + ... + 56876850.

It is an arithmetic number, because the mean of its divisors is an integer number (660142201320).

Almost surely, 223135454344544 is an apocalyptic number.

23135454344544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23135454344544 is an abundant number, since it is smaller than the sum of its proper divisors (40238196982176).

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

23135454344544 is a wasteful number, since it uses less digits than its factorization.

23135454344544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433932 (or 433924 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 51.

Adding to 23135454344544 its reverse (44544345453132), we get a palindrome (67679799797676).

The spelling of 23135454344544 in words is "twenty-three trillion, one hundred thirty-five billion, four hundred fifty-four million, three hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 25667 51334 77001 102668 154002 205336 308004 408229 410672 590341 616008 816458 821344 1180682 1224687 1232016 1632916 1771023 2361364 2449374 2464032 3265832 3542046 4722728 4898748 6531664 7084092 9389267 9445456 9797496 13063328 14168184 18778534 18890912 19594992 28167801 28336368 37557068 39189984 56335602 56672736 75114136 112671204 150228272 225342408 300456544 450684816 901369632 10478013743 20956027486 31434041229 41912054972 62868082458 83824109944 125736164916 167648219888 240994316089 251472329832 335296439776 481988632178 502944659664 722982948267 963977264356 1005889319328 1445965896534 1927954528712 2891931793068 3855909057424 5783863586136 7711818114848 11567727172272 23135454344544