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23233442463 = 3472114331229
BaseRepresentation
bin10101101000110100…
…100011001010011111
32012222011211011110000
4111220310203022133
5340040230124323
614401233145343
71451514000600
oct255064431237
965864734400
1023233442463
119942744220
1246049bb253
1322635552ba
1411a58d7da7
1590ea72e43
hex568d2329f

23233442463 has 120 divisors (see below), whose sum is σ = 44181078480. Its totient is φ = 12031649280.

The previous prime is 23233442443. The next prime is 23233442537. The reversal of 23233442463 is 36424433232.

23233442463 is a `hidden beast` number, since 232 + 3 + 344 + 24 + 63 = 666.

It is not a de Polignac number, because 23233442463 - 229 = 22696571551 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23233442413) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18903733 + ... + 18904961.

It is an arithmetic number, because the mean of its divisors is an integer number (368175654).

Almost surely, 223233442463 is an apocalyptic number.

23233442463 is a deficient number, since it is larger than the sum of its proper divisors (20947636017).

23233442463 is a wasteful number, since it uses less digits than its factorization.

23233442463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1683 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 23233442463 its reverse (36424433232), we get a palindrome (59657875695).

The spelling of 23233442463 in words is "twenty-three billion, two hundred thirty-three million, four hundred forty-two thousand, four hundred sixty-three".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 147 189 231 297 433 441 539 567 693 891 1229 1299 1323 1617 2079 3031 3687 3897 3969 4763 4851 6237 8603 9093 11061 11691 13519 14289 14553 21217 25809 27279 33183 33341 35073 40557 42867 43659 60221 63651 77427 81837 94633 99549 100023 121671 128601 180663 190953 232281 233387 245511 283899 300069 365013 385803 532157 541989 572859 662431 696843 700161 851697 900207 1095039 1596471 1625967 1718577 1987293 2100483 2555091 2700621 3725099 4789413 4877901 5853727 5961879 6301449 7665273 11175297 14368239 17561181 17885637 18904347 26075693 33525891 40976089 43104717 52683543 53656911 78227079 100577673 122928267 158050629 234681237 286832623 301733019 368784801 474151887 704043711 860497869 1106354403 2112131133 2581493607 3319063209 7744480821 23233442463