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81432727596 = 223411109209621
BaseRepresentation
bin100101111010111000…
…1001101000000101100
321210012012001011210000
41023311301031000230
52313233234240341
6101224253544300
75611656522663
oct1136561150054
9253165034700
1081432727596
1131598719580
12139477a5090
1378a9c01c1c
143d27169dda
1521b917a8b6
hex12f5c4d02c

81432727596 has 120 divisors (see below), whose sum is σ = 234365780880. Its totient is φ = 24450076800.

The previous prime is 81432727561. The next prime is 81432727601. The reversal of 81432727596 is 69572723418.

It is a happy number.

81432727596 is a `hidden beast` number, since 8 + 1 + 4 + 3 + 27 + 27 + 596 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 283666 + ... + 493286.

It is an arithmetic number, because the mean of its divisors is an integer number (1953048174).

Almost surely, 281432727596 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 81432727596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117182890440).

81432727596 is an abundant number, since it is smaller than the sum of its proper divisors (152933053284).

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

81432727596 is a wasteful number, since it uses less digits than its factorization.

81432727596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209757 (or 209746 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 81432727596 in words is "eighty-one billion, four hundred thirty-two million, seven hundred twenty-seven thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 109 132 162 198 218 297 324 327 396 436 594 654 891 981 1188 1199 1308 1782 1962 2398 2943 3564 3597 3924 4796 5886 7194 8829 10791 11772 14388 17658 21582 32373 35316 43164 64746 97119 129492 194238 209621 388476 419242 628863 838484 1257726 1886589 2305831 2515452 3773178 4611662 5659767 6917493 7546356 9223324 11319534 13834986 16979301 20752479 22639068 22848689 27669972 33958602 41504958 45697378 62257437 67917204 68546067 83009916 91394756 124514874 137092134 186772311 205638201 249029748 251335579 274184268 373544622 411276402 502671158 616914603 747089244 754006737 822552804 1005342316 1233829206 1508013474 1850743809 2262020211 2467658412 3016026948 3701487618 4524040422 6786060633 7402975236 9048080844 13572121266 20358181899 27144242532 40716363798 81432727596