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665985264 = 24373192129
BaseRepresentation
bin100111101100100…
…010000011110000
31201102011120000220
4213230202003300
52330443012024
6150030213040
722334532000
oct4754420360
91642146026
10665985264
11311a2764a
12167054180
13a7c8cc29
1464642000
153d703e79
hex27b220f0

665985264 has 160 divisors (see below), whose sum is σ = 2112960000. Its totient is φ = 180182016.

The previous prime is 665985239. The next prime is 665985269. The reversal of 665985264 is 462589566.

Its product of digits (3110400) is a multiple of the sum of its prime divisors (2160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (665985269) 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, 311752 + ... + 313880.

It is an arithmetic number, because the mean of its divisors is an integer number (13206000).

Almost surely, 2665985264 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 665985264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056480000).

665985264 is an abundant number, since it is smaller than the sum of its proper divisors (1446974736).

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

665985264 is a wasteful number, since it uses less digits than its factorization.

665985264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2160 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The square root of 665985264 is about 25806.6902953478. The cubic root of 665985264 is about 873.2827332466.

The spelling of 665985264 in words is "six hundred sixty-five million, nine hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 343 392 399 456 532 588 686 784 798 912 931 1029 1064 1176 1372 1596 1862 2058 2128 2129 2352 2744 2793 3192 3724 4116 4258 5488 5586 6384 6387 6517 7448 8232 8516 11172 12774 13034 14896 14903 16464 17032 19551 22344 25548 26068 29806 34064 39102 40451 44688 44709 51096 52136 59612 78204 80902 89418 102192 104272 104321 119224 121353 156408 161804 178836 208642 238448 242706 283157 312816 312963 323608 357672 417284 485412 566314 625926 647216 715344 730247 834568 849471 970824 1132628 1251852 1460494 1669136 1698942 1941648 1982099 2190741 2265256 2503704 2920988 3397884 3964198 4381482 4530512 5007408 5841976 5946297 6795768 7928396 8762964 11683952 11892594 13591536 13874693 15856792 17525928 23785188 27749386 31713584 35051856 41624079 47570376 55498772 83248158 95140752 110997544 166496316 221995088 332992632 665985264