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23464505330721 = 32721322381132229
BaseRepresentation
bin1010101010111010000011…
…00000010100110000100001
310002002011222201110110201200
411111131001200110300201
511033420301331040341
6121523240034551413
74641153213316500
oct525350140246041
9102064881413650
1023464505330721
1175272715a4894
12276b6b3438569
131012902401100
145b198c2a2837
152aa574018db6
hex155741814c21

23464505330721 has 108 divisors (see below), whose sum is σ = 42711129131580. Its totient is φ = 12371590183680.

The previous prime is 23464505330699. The next prime is 23464505330731. The reversal of 23464505330721 is 12703350546432.

It is a happy number.

23464505330721 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 45 + 0 + 533 + 0 + 72 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15567640992225 + 7896864338496 = 3945585^2 + 2810136^2 .

It is not a de Polignac number, because 23464505330721 - 225 = 23464471776289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23464505330731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 177387435 + ... + 177519663.

It is an arithmetic number, because the mean of its divisors is an integer number (395473417885).

Almost surely, 223464505330721 is an apocalyptic number.

23464505330721 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23464505330721 is a deficient number, since it is larger than the sum of its proper divisors (19246623800859).

23464505330721 is a wasteful number, since it uses less digits than its factorization.

23464505330721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134656 (or 134633 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 23464505330721 in words is "twenty-three trillion, four hundred sixty-four billion, five hundred five million, three hundred thirty thousand, seven hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 441 507 637 819 1183 1521 1911 2381 3549 5733 7143 8281 10647 16667 21429 24843 30953 50001 74529 92859 116669 132229 150003 216671 278577 350007 396687 402389 650013 925603 1050021 1190061 1207167 1516697 1718977 1950039 2776809 2816723 3621501 4550091 5156931 6479221 8330427 8450169 12032839 13650273 15470793 19437663 19717061 22346701 25350507 36098517 58312989 59151183 67040103 84229873 108295551 156426907 177453549 201120309 252689619 314837249 469280721 758068857 944511747 1094988349 1407842163 2203860743 2833535241 3284965047 4092884237 6611582229 9854895141 12278652711 15427025201 19834746687 28650189659 36835958133 46281075603 53207495081 85950568977 138843226809 159622485243 200551327613 257851706931 372452465567 478867455729 601653982839 1117357396701 1804961948517 2607167258969 3352072190103 7821501776907 23464505330721