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230650512642 = 2321110115237573
BaseRepresentation
bin1101011011001111010…
…1111000010100000010
3211001100102122001110100
43112303311320110002
512234333012401032
6253543120543230
722443510003114
oct3266365702402
9731312561410
10230650512642
1189900223a90
1238850481b16
131899a3b76a4
14b240aa13b4
155eee24797c
hex35b3d78502

230650512642 has 96 divisors (see below), whose sum is σ = 551005955136. Its totient is φ = 69147504000.

The previous prime is 230650512593. The next prime is 230650512667. The reversal of 230650512642 is 246215056032.

230650512642 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 5 + 0 + 5 + 1 + 2 + 642 = 666.

230650512642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230650512597 and 230650512606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30453168 + ... + 30460740.

It is an arithmetic number, because the mean of its divisors is an integer number (5739645366).

Almost surely, 2230650512642 is an apocalyptic number.

230650512642 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 230650512642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275502977568).

230650512642 is an abundant number, since it is smaller than the sum of its proper divisors (320355442494).

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

230650512642 is a wasteful number, since it uses less digits than its factorization.

230650512642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9216 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 230650512642 its reverse (246215056032), we get a palindrome (476865568674).

The spelling of 230650512642 in words is "two hundred thirty billion, six hundred fifty million, five hundred twelve thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1523 1818 2222 3046 3333 4569 6666 7573 9138 9999 13707 15146 16753 19998 22719 27414 33506 45438 50259 68157 83303 100518 136314 150777 153823 166606 249909 301554 307646 461469 499818 749727 764873 922938 1384407 1499454 1529746 1692053 2294619 2768814 3384106 4589238 5076159 6883857 8413603 10152318 11533679 13767714 15228477 16827206 23067358 25240809 30456954 34601037 50481618 69202074 75722427 103803111 126870469 151444854 207606222 253740938 380611407 761222814 1141834221 1164901579 2283668442 2329803158 3494704737 6989409474 10484114211 12813917369 20968228422 25627834738 38441752107 76883504214 115325256321 230650512642