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633134964 = 223711897699
BaseRepresentation
bin100101101111001…
…101111101110100
31122010100120220010
4211233031331310
52244040304324
6142454140220
721455362350
oct4557157564
91563316803
10633134964
112a542a740
12158051670
13a122a797
1460130460
153a8b5829
hex25bcdf74

633134964 has 96 divisors (see below), whose sum is σ = 1862784000. Its totient is φ = 162581760.

The previous prime is 633134933. The next prime is 633135001. The reversal of 633134964 is 469431336.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 78387 + ... + 86085.

It is an arithmetic number, because the mean of its divisors is an integer number (19404000).

Almost surely, 2633134964 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 633134964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931392000).

633134964 is an abundant number, since it is smaller than the sum of its proper divisors (1229649036).

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

633134964 is a wasteful number, since it uses less digits than its factorization.

633134964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813 (or 7811 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 633134964 is about 25162.1732765673. The cubic root of 633134964 is about 858.6814859454.

The spelling of 633134964 in words is "six hundred thirty-three million, one hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 89 132 154 178 231 267 308 356 462 534 623 924 979 1068 1246 1869 1958 2492 2937 3738 3916 5874 6853 7476 7699 11748 13706 15398 20559 23097 27412 30796 41118 46194 53893 82236 84689 92388 107786 161679 169378 215572 254067 323358 338756 508134 592823 646716 685211 1016268 1185646 1370422 1778469 2055633 2371292 2740844 3556938 4111266 4796477 7113876 7537321 8222532 9592954 14389431 15074642 19185908 22611963 28778862 30149284 45223926 52761247 57557724 90447852 105522494 158283741 211044988 316567482 633134964