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23237648721 = 3274172612
BaseRepresentation
bin10101101001000100…
…100110000101010001
32012222110201212100100
4111221010212011101
5340042314224341
614401503243013
71451564520000
oct255104460521
965873655310
1023237648721
119945057471
1246062a9469
132264398a01
1411a62b0c37
159101043b6
hex569126151

23237648721 has 135 divisors (see below), whose sum is σ = 42289366353. Its totient is φ = 12292680960.

The previous prime is 23237648713. The next prime is 23237648741. The reversal of 23237648721 is 12784673232.

The square root of 23237648721 is 152439.

It is a perfect power (a square), and thus also a powerful number.

23237648721 is a `hidden beast` number, since 232 + 376 + 48 + 7 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2144153025 + 21093495696 = 46305^2 + 145236^2 .

It is not a de Polignac number, because 23237648721 - 23 = 23237648713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23237648741) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 380945031 + ... + 380945091.

Almost surely, 223237648721 is an apocalyptic number.

23237648721 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23237648721 is the 152439-th square number.

23237648721 is the 76220-th centered octagonal number.

It is an amenable number.

23237648721 is a deficient number, since it is larger than the sum of its proper divisors (19051717632).

23237648721 is an frugal number, since it uses more digits than its factorization.

23237648721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 88 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 23237648721 in words is "twenty-three billion, two hundred thirty-seven million, six hundred forty-eight thousand, seven hundred twenty-one".

Divisors: 1 3 7 9 17 21 49 51 61 63 119 147 153 183 289 343 357 427 441 549 833 867 1029 1037 1071 1281 2023 2401 2499 2601 2989 3087 3111 3721 3843 5831 6069 7203 7259 7497 8967 9333 11163 14161 17493 17629 18207 20923 21609 21777 26047 26901 33489 40817 42483 50813 52479 52887 62769 63257 65331 78141 99127 122451 123403 127449 146461 152439 158661 182329 188307 189771 234423 297381 355691 367353 370209 439383 442799 457317 546987 569313 693889 863821 892143 1067073 1075369 1110627 1276303 1318149 1328397 1640961 2081667 2489837 2591463 3099593 3201219 3226107 3828909 3985191 6046747 6245001 7469511 7527583 7774389 8934121 9298779 9678321 11486727 18140241 21697151 22408533 22582749 26802363 27896337 42327229 52693081 54420723 65091453 67748247 80407089 126981687 151880057 158079243 195274359 368851567 380945061 455640171 474237729 1106554701 1366920513 2581960969 3319664103 7745882907 23237648721