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189353631795948 = 223314472236954167
BaseRepresentation
bin101011000011011101010011…
…111101011100101011101100
3220211110000211011120221002000
4223003131103331130223230
5144304332214214432243
61510415505122332300
754612230341566624
oct5303352375345354
9824400734527060
10189353631795948
1155374473789844
12192a20041ba090
138186c80c99b39
1434a8a9c3c9884
1516d57c86cb5d3
hexac3753f5caec

189353631795948 has 96 divisors (see below), whose sum is σ = 491287119590400. Its totient is φ = 63070273340928.

The previous prime is 189353631795877. The next prime is 189353631795961. The reversal of 189353631795948 is 849597136353981.

189353631795948 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 5 + 3 + 6 + 3 + 17 + 9 + 594 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3495710761 + ... + 3495764927.

It is an arithmetic number, because the mean of its divisors is an integer number (5117574162400).

Almost surely, 2189353631795948 is an apocalyptic number.

189353631795948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

189353631795948 is an abundant number, since it is smaller than the sum of its proper divisors (301933487794452).

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

189353631795948 is a wasteful number, since it uses less digits than its factorization.

189353631795948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77996 (or 77988 counting only the distinct ones).

The product of its digits is 5290790400, while the sum is 81.

The spelling of 189353631795948 in words is "one hundred eighty-nine trillion, three hundred fifty-three billion, six hundred thirty-one million, seven hundred ninety-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1447 2894 4341 5788 8682 13023 17364 22369 26046 39069 44738 52092 54167 67107 78138 89476 108334 134214 156276 162501 201321 216668 268428 325002 402642 487503 603963 650004 805284 975006 1207926 1462509 1950012 2415852 2925018 5850036 32367943 64735886 78379649 97103829 129471772 156759298 194207658 235138947 291311487 313518596 388415316 470277894 582622974 705416841 873934461 940555788 1165245948 1211661623 1410833682 1747868922 2116250523 2423323246 2821667364 3495737844 3634984869 4232501046 4846646492 7269969738 8465002092 10904954607 14539939476 21809909214 32714863821 43619818428 65429727642 130859455284 1753274368481 3506548736962 5259823105443 7013097473924 10519646210886 15779469316329 21039292421772 31558938632658 47338407948987 63117877265316 94676815897974 189353631795948