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950214168 = 2332193718773
BaseRepresentation
bin111000101000110…
…001111000011000
32110012222212210100
4320220301320120
53421223323133
6234142215400
732355454461
oct7050617030
92405885710
10950214168
11448409a72
12226284560
13121b28407
14902abd68
1558649e13
hex38a31e18

950214168 has 96 divisors (see below), whose sum is σ = 2782306800. Its totient is φ = 291942144.

The previous prime is 950214163. The next prime is 950214169. The reversal of 950214168 is 861412059.

950214168 is a `hidden beast` number, since 9 + 502 + 141 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (950214163) 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, 41230 + ... + 60002.

Almost surely, 2950214168 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 950214168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391153400).

950214168 is an abundant number, since it is smaller than the sum of its proper divisors (1832092632).

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

950214168 is a wasteful number, since it uses less digits than its factorization.

950214168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18841 (or 18834 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 950214168 is about 30825.5440827895. The cubic root of 950214168 is about 983.1214396892.

The spelling of 950214168 in words is "nine hundred fifty million, two hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 37 38 57 72 74 76 111 114 148 152 171 222 228 296 333 342 444 456 666 684 703 888 1332 1368 1406 2109 2664 2812 4218 5624 6327 8436 12654 16872 18773 25308 37546 50616 56319 75092 112638 150184 168957 225276 337914 356687 450552 675828 694601 713374 1070061 1351656 1389202 1426748 2083803 2140122 2778404 2853496 3210183 4167606 4280244 5556808 6251409 6420366 8335212 8560488 12502818 12840732 13197419 16670424 25005636 25681464 26394838 39592257 50011272 52789676 79184514 105579352 118776771 158369028 237553542 316738056 475107084 950214168