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23650353342 = 232711169310079
BaseRepresentation
bin10110000001101010…
…111100000010111110
32021001020022102122200
4112001222330002332
5341413442301332
614510445052330
71465035454320
oct260152740276
967036272580
1023650353342
11a03700a570
1247005570a6
1322cba37c25
141205021610
1593647717c
hex581abc0be

23650353342 has 96 divisors (see below), whose sum is σ = 63930746880. Its totient is φ = 6138711360.

The previous prime is 23650353317. The next prime is 23650353361. The reversal of 23650353342 is 24335305632.

23650353342 is a `hidden beast` number, since 2 + 36 + 50 + 3 + 533 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23650353297 and 23650353306.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2341459 + ... + 2351537.

It is an arithmetic number, because the mean of its divisors is an integer number (665945280).

Almost surely, 223650353342 is an apocalyptic number.

23650353342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23650353342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31965373440).

23650353342 is an abundant number, since it is smaller than the sum of its proper divisors (40280393538).

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

23650353342 is a wasteful number, since it uses less digits than its factorization.

23650353342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11798 (or 11795 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 23650353342 its reverse (24335305632), we get a palindrome (47985658974).

The spelling of 23650353342 in words is "twenty-three billion, six hundred fifty million, three hundred fifty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 1693 3386 5079 10079 10158 11851 15237 18623 20158 23702 30237 30474 35553 37246 55869 60474 70553 71106 90711 106659 110869 111738 130361 141106 167607 181422 211659 213318 221738 260722 332607 335214 391083 423318 634977 665214 776083 782166 997821 1173249 1269954 1552166 1995642 2328249 2346498 4656498 6984747 13969494 17063747 34127494 51191241 102382482 119446229 153573723 187701217 238892458 307147446 358338687 375402434 563103651 716677374 1075016061 1126207302 1313908519 1689310953 2150032122 2627817038 3378621906 3941725557 7883451114 11825176671 23650353342