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195686064 = 24337163397
BaseRepresentation
bin10111010100111…
…10111010110000
3111122012212211000
423222132322300
5400043423224
631230122000
74564206210
oct1352367260
9448185730
10195686064
11a0506922
1255650300
1331706892
141bdbc240
15122a60c9
hexba9eeb0

195686064 has 160 divisors (see below), whose sum is σ = 647498240. Its totient is φ = 55427328.

The previous prime is 195686027. The next prime is 195686069. The reversal of 195686064 is 460686591.

It is not an unprimeable number, because it can be changed into a prime (195686069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492714 + ... + 493110.

It is an arithmetic number, because the mean of its divisors is an integer number (4046864).

Almost surely, 2195686064 is an apocalyptic number.

195686064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195686064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323749120).

195686064 is an abundant number, since it is smaller than the sum of its proper divisors (451812176).

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

195686064 is a wasteful number, since it uses less digits than its factorization.

195686064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 195686064 is about 13988.7835067957. The cubic root of 195686064 is about 580.5682737905.

The spelling of 195686064 in words is "one hundred ninety-five million, six hundred eighty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 163 168 189 216 252 326 336 378 397 432 489 504 652 756 794 978 1008 1141 1191 1304 1467 1512 1588 1956 2282 2382 2608 2779 2934 3024 3176 3423 3573 3912 4401 4564 4764 5558 5868 6352 6846 7146 7824 8337 8802 9128 9528 10269 10719 11116 11736 13692 14292 16674 17604 18256 19056 20538 21438 22232 23472 25011 27384 28584 30807 33348 35208 41076 42876 44464 50022 54768 57168 61614 64711 66696 70416 75033 82152 85752 100044 123228 129422 133392 150066 164304 171504 194133 200088 246456 258844 300132 388266 400176 452977 492912 517688 582399 600264 776532 905954 1035376 1164798 1200528 1358931 1553064 1747197 1811908 2329596 2717862 3106128 3494394 3623816 4076793 4659192 5435724 6988788 7247632 8153586 9318384 10871448 12230379 13977576 16307172 21742896 24460758 27955152 32614344 48921516 65228688 97843032 195686064