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201683393424 = 24331277365591
BaseRepresentation
bin1011101111010101000…
…1000101101110010000
3201021120122212221011000
42323311101011232100
511301021422042144
6232352503022000
720366621362362
oct2736521055620
9637518787130
10201683393424
1178596021637
123310743a900
1316032002a66
149a938c2d32
1553a6147769
hex2ef5445b90

201683393424 has 80 divisors (see below), whose sum is σ = 579360954240. Its totient is φ = 67174968960.

The previous prime is 201683393419. The next prime is 201683393477. The reversal of 201683393424 is 424393386102.

201683393424 is a `hidden beast` number, since 201 + 68 + 339 + 34 + 24 = 666.

201683393424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201683393424.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 368869 + ... + 734459.

It is an arithmetic number, because the mean of its divisors is an integer number (7242011928).

Almost surely, 2201683393424 is an apocalyptic number.

201683393424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201683393424 is an abundant number, since it is smaller than the sum of its proper divisors (377677560816).

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

201683393424 is a wasteful number, since it uses less digits than its factorization.

201683393424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366885 (or 366873 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 201683393424 in words is "two hundred one billion, six hundred eighty-three million, three hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1277 2554 3831 5108 7662 10216 11493 15324 20432 22986 30648 34479 45972 61296 68958 91944 137916 183888 275832 365591 551664 731182 1096773 1462364 2193546 2924728 3290319 4387092 5849456 6580638 8774184 9870957 13161276 17548368 19741914 26322552 39483828 52645104 78967656 157935312 466859707 933719414 1400579121 1867438828 2801158242 3734877656 4201737363 5602316484 7469755312 8403474726 11204632968 12605212089 16806949452 22409265936 25210424178 33613898904 50420848356 67227797808 100841696712 201683393424