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81993388536 = 233637379979
BaseRepresentation
bin100110001011100101…
…1111101000111111000
321211122021000201000000
41030113023331013320
52320410301413121
6101400042513000
75631605205663
oct1142713750770
9254567021000
1081993388536
1131856148424
1213a83505760
137969105a67
143d7b7d26da
1521ed4c7526
hex13172fd1f8

81993388536 has 112 divisors (see below), whose sum is σ = 236731339800. Its totient is φ = 26592380352.

The previous prime is 81993388513. The next prime is 81993388537. The reversal of 81993388536 is 63588339918.

81993388536 is a `hidden beast` number, since 8 + 1 + 9 + 93 + 3 + 8 + 8 + 536 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81993388537) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25795 + ... + 405773.

Almost surely, 281993388536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81993388536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118365669900).

81993388536 is an abundant number, since it is smaller than the sum of its proper divisors (154737951264).

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

81993388536 is a wasteful number, since it uses less digits than its factorization.

81993388536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380040 (or 380021 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 81993388536 in words is "eighty-one billion, nine hundred ninety-three million, three hundred eighty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 729 888 972 999 1332 1458 1944 1998 2664 2916 2997 3996 5832 5994 7992 8991 11988 17982 23976 26973 35964 53946 71928 107892 215784 379979 759958 1139937 1519916 2279874 3039832 3419811 4559748 6839622 9119496 10259433 13679244 14059223 20518866 27358488 28118446 30778299 41037732 42177669 56236892 61556598 82075464 84355338 92334897 112473784 123113196 126533007 168710676 184669794 246226392 253066014 277004691 337421352 369339588 379599021 506132028 554009382 738679176 759198042 1012264056 1108018764 1138797063 1518396084 2216037528 2277594126 3036792168 3416391189 4555188252 6832782378 9110376504 10249173567 13665564756 20498347134 27331129512 40996694268 81993388536