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465630066 = 233111495261
BaseRepresentation
bin11011110000001…
…111001101110010
31012110011110101000
4123300033031302
51423200130231
6114112022430
714352535026
oct3360171562
91173143330
10465630066
11219921840
1210bb31a16
1375610065
1445baa386
152ad296e6
hex1bc0f372

465630066 has 64 divisors (see below), whose sum is σ = 1136592000. Its totient is φ = 140126400.

The previous prime is 465630049. The next prime is 465630103. The reversal of 465630066 is 660036564.

It is a super-2 number, since 2×4656300662 = 433622716726328712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 465630066.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85876 + ... + 91136.

It is an arithmetic number, because the mean of its divisors is an integer number (17759250).

Almost surely, 2465630066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465630066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568296000).

465630066 is an abundant number, since it is smaller than the sum of its proper divisors (670961934).

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

465630066 is a wasteful number, since it uses less digits than its factorization.

465630066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 465630066 is about 21578.4630129210. The cubic root of 465630066 is about 775.0808467862.

The spelling of 465630066 in words is "four hundred sixty-five million, six hundred thirty thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 149 198 297 298 447 594 894 1341 1639 2682 3278 4023 4917 5261 8046 9834 10522 14751 15783 29502 31566 44253 47349 57871 88506 94698 115742 142047 173613 284094 347226 520839 783889 1041678 1562517 1567778 2351667 3125034 4703334 7055001 8622779 14110002 17245558 21165003 25868337 42330006 51736674 77605011 155210022 232815033 465630066