Search a number
-
+
9934066064 = 2413231373203
BaseRepresentation
bin10010100000001110…
…11101000110010000
3221122022200211202202
421100013131012100
5130321110103224
64321425302332
7501114111506
oct112007350620
927568624682
109934066064
11423858095a
121b12a949a8
13c24143600
146a34bc676
153d21d6eae
hex2501dd190

9934066064 has 120 divisors (see below), whose sum is σ = 22102371072. Its totient is φ = 4315783680.

The previous prime is 9934066063. The next prime is 9934066097. The reversal of 9934066064 is 4606604399.

It is not an unprimeable number, because it can be changed into a prime (9934066061) 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 23 ways as a sum of consecutive naturals, for example, 3099887 + ... + 3103089.

Almost surely, 29934066064 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 9934066064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11051185536).

9934066064 is an abundant number, since it is smaller than the sum of its proper divisors (12168305008).

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

9934066064 is a wasteful number, since it uses less digits than its factorization.

9934066064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 47.

The square root of 9934066064 is about 99669.7851106342. The cubic root of 9934066064 is about 2149.6892331794.

The spelling of 9934066064 in words is "nine billion, nine hundred thirty-four million, sixty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 31 37 52 62 74 104 124 148 169 208 248 296 338 403 481 496 592 676 806 962 1147 1352 1612 1924 2294 2704 3203 3224 3848 4588 5239 6253 6406 6448 7696 9176 10478 12506 12812 14911 18352 20956 25012 25624 29822 41639 41912 50024 51248 59644 83278 83824 99293 100048 118511 119288 166556 193843 198586 237022 238576 333112 387686 397172 474044 541307 666224 775372 794344 948088 1082614 1290809 1540643 1550744 1588688 1896176 2165228 2581618 3081286 3101488 3673841 4330456 5163236 6162572 7347682 8660912 10326472 12325144 14695364 16780517 20028359 20652944 24650288 29390728 33561034 40056718 47759933 58781456 67122068 80113436 95519866 134244136 160226872 191039732 268488272 320453744 382079464 620879129 764158928 1241758258 2483516516 4967033032 9934066064