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83938742208 = 263416191887
BaseRepresentation
bin100111000101100100…
…0111000111111000000
322000122211112220120000
41032023020320333000
52333401304222313
6102321054320000
76031036352016
oct1161310707700
9260584486500
1083938742208
1132664260432
1214326ab9000
137bb9158bc9
1440c3d048b6
1522b4193673
hex138b238fc0

83938742208 has 70 divisors (see below), whose sum is σ = 248820742896. Its totient is φ = 27979579008.

The previous prime is 83938742189. The next prime is 83938742243. The reversal of 83938742208 is 80224783938.

83938742208 is a `hidden beast` number, since 8 + 39 + 387 + 4 + 220 + 8 = 666.

It is a super-2 number, since 2×839387422082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8090760 + ... + 8101127.

Almost surely, 283938742208 is an apocalyptic number.

It is an amenable number.

83938742208 is an abundant number, since it is smaller than the sum of its proper divisors (164882000688).

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

83938742208 is a wasteful number, since it uses less digits than its factorization.

83938742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16191911 (or 16191892 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 83938742208 in words is "eighty-three billion, nine hundred thirty-eight million, seven hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 16191887 32383774 48575661 64767548 97151322 129535096 145726983 194302644 259070192 291453966 388605288 437180949 518140384 582907932 777210576 874361898 1036280768 1165815864 1311542847 1554421152 1748723796 2331631728 2623085694 3108842304 3497447592 4663263456 5246171388 6994895184 9326526912 10492342776 13989790368 20984685552 27979580736 41969371104 83938742208