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164479986 = 2321131127211
BaseRepresentation
bin10011100110111…
…00001111110010
3102110111110010100
421303130033302
5314101324421
624153213230
74035025326
oct1163341762
9373443110
10164479986
1184932280
1247101216
13280cb948
1417bb7986
15e68ec26
hex9cdc3f2

164479986 has 96 divisors (see below), whose sum is σ = 406388736. Its totient is φ = 47628000.

The previous prime is 164479963. The next prime is 164479993. The reversal of 164479986 is 689974461.

164479986 is a `hidden beast` number, since 164 + 479 + 9 + 8 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779421 + ... + 779631.

It is an arithmetic number, because the mean of its divisors is an integer number (4233216).

Almost surely, 2164479986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164479986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203194368).

164479986 is an abundant number, since it is smaller than the sum of its proper divisors (241908750).

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

164479986 is a wasteful number, since it uses less digits than its factorization.

164479986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 385 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 164479986 is about 12824.9750876951. The cubic root of 164479986 is about 547.9038516558.

The spelling of 164479986 in words is "one hundred sixty-four million, four hundred seventy-nine thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 127 186 198 211 254 279 341 381 422 558 633 682 762 1023 1143 1266 1397 1899 2046 2286 2321 2794 3069 3798 3937 4191 4642 6138 6541 6963 7874 8382 11811 12573 13082 13926 19623 20889 23622 25146 26797 35433 39246 41778 43307 53594 58869 70866 71951 80391 86614 117738 129921 143902 160782 215853 241173 259842 294767 389763 431706 482346 589534 647559 779526 830707 884301 1295118 1661414 1768602 2492121 2652903 4984242 5305806 7476363 9137777 14952726 18275554 27413331 54826662 82239993 164479986