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766620168 = 2331737431181
BaseRepresentation
bin101101101100011…
…011001000001000
31222102112100011120
4231230123020020
53032223321133
6204023155240
724666110136
oct5554331010
91872470146
10766620168
11363812096
121948a5b20
13c2a96702
1473b5a756
1547481ab3
hex2db1b208

766620168 has 128 divisors (see below), whose sum is σ = 2134408320. Its totient is φ = 228372480.

The previous prime is 766620161. The next prime is 766620203. The reversal of 766620168 is 861026667.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (766620161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648538 + ... + 649718.

It is an arithmetic number, because the mean of its divisors is an integer number (16675065).

Almost surely, 2766620168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766620168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067204160).

766620168 is an abundant number, since it is smaller than the sum of its proper divisors (1367788152).

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

766620168 is a wasteful number, since it uses less digits than its factorization.

766620168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 766620168 is about 27687.9065297469. The cubic root of 766620168 is about 915.2226231275. Note that the first 3 decimals are identical.

The spelling of 766620168 in words is "seven hundred sixty-six million, six hundred twenty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 43 51 68 74 86 102 111 129 136 148 172 204 222 258 296 344 408 444 516 629 731 888 1032 1181 1258 1462 1591 1887 2193 2362 2516 2924 3182 3543 3774 4386 4724 4773 5032 5848 6364 7086 7548 8772 9448 9546 12728 14172 15096 17544 19092 20077 27047 28344 38184 40154 43697 50783 54094 60231 80308 81141 87394 101566 108188 120462 131091 152349 160616 162282 174788 203132 216376 240924 262182 304698 324564 349576 406264 481848 524364 609396 649128 742849 863311 1048728 1218792 1485698 1726622 1878971 2228547 2589933 2971396 3453244 3757942 4457094 5179866 5636913 5942792 6906488 7515884 8914188 10359732 11273826 15031768 17828376 20719464 22547652 31942507 45095304 63885014 95827521 127770028 191655042 255540056 383310084 766620168