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198967394052 = 2232717192444437
BaseRepresentation
bin1011100101001101100…
…0010111111100000100
3201000120101020212102200
42321103120113330010
511224441123102202
6231223201434500
720242411642020
oct2712330277404
9630511225380
10198967394052
11774219a8059
123268993ba30
13159bb406b3b
1498b6cc7380
1552979a1e1c
hex2e53617f04

198967394052 has 144 divisors (see below), whose sum is σ = 640638311040. Its totient is φ = 50687824896.

The previous prime is 198967393997. The next prime is 198967394053. The reversal of 198967394052 is 250493769891.

198967394052 is a `hidden beast` number, since 198 + 9 + 6 + 7 + 39 + 405 + 2 = 666.

198967394052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (198967394053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1140823 + ... + 1303614.

It is an arithmetic number, because the mean of its divisors is an integer number (4448877160).

It is a 1-persistent number, because it is pandigital, but 2⋅198967394052 = 397934788104 is not.

Almost surely, 2198967394052 is an apocalyptic number.

198967394052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198967394052 is an abundant number, since it is smaller than the sum of its proper divisors (441670916988).

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

198967394052 is a wasteful number, since it uses less digits than its factorization.

198967394052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444490 (or 2444485 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 198967394052 in words is "one hundred ninety-eight billion, nine hundred sixty-seven million, three hundred ninety-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 153 171 204 228 238 252 266 306 323 342 357 399 476 532 612 646 684 714 798 969 1071 1197 1292 1428 1596 1938 2142 2261 2394 2907 3876 4284 4522 4788 5814 6783 9044 11628 13566 20349 27132 40698 81396 2444437 4888874 7333311 9777748 14666622 17111059 21999933 29333244 34222118 41555429 43999866 46444303 51333177 68444236 83110858 87999732 92888606 102666354 124666287 139332909 153999531 166221716 185777212 205332708 249332574 278665818 290888003 307999062 325110121 373998861 417998727 498665148 557331636 581776006 615998124 650220242 747997722 789553151 835997454 872664009 975330363 1163552012 1300440484 1495995444 1579106302 1671994908 1745328018 1950660726 2368659453 2617992027 2925991089 3158212604 3490656036 3901321452 4737318906 5235984054 5526872057 5851982178 7105978359 9474637812 10471968108 11053744114 11703964356 14211956718 16580616171 22107488228 28423913436 33161232342 49741848513 66322464684 99483697026 198967394052