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81540949248 = 2832113217367
BaseRepresentation
bin100101111110000111…
…0000010010100000000
321210110201200101222100
41023330032002110000
52313443440333443
6101243121310400
75614442430003
oct1137416022400
9253421611870
1081540949248
1131643816060
1213977a95400
1378c64639c5
143d3769b53a
1521c39063d3
hex12fc382500

81540949248 has 108 divisors (see below), whose sum is σ = 256475707488. Its totient is φ = 24709370880.

The previous prime is 81540949223. The next prime is 81540949261. The reversal of 81540949248 is 84294904518.

It is a happy number.

81540949248 is a `hidden beast` number, since 8 + 1 + 540 + 9 + 4 + 92 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81540949194 and 81540949203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1583340 + ... + 1634027.

Almost surely, 281540949248 is an apocalyptic number.

81540949248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

81540949248 is an abundant number, since it is smaller than the sum of its proper divisors (174934758240).

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

81540949248 is a wasteful number, since it uses less digits than its factorization.

81540949248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217400 (or 3217383 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 81540949248 in words is "eighty-one billion, five hundred forty million, nine hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 3217367 6434734 9652101 12869468 19304202 25738936 28956303 35391037 38608404 51477872 57912606 70782074 77216808 102955744 106173111 115825212 141564148 154433616 205911488 212346222 231650424 283128296 308867232 318519333 411822976 424692444 463300848 566256592 617734464 637038666 823645952 849384888 926601696 1132513184 1235468928 1274077332 1698769776 1853203392 2265026368 2470937856 2548154664 3397539552 3706406784 4530052736 5096309328 6795079104 7412813568 9060105472 10192618656 13590158208 20385237312 27180316416 40770474624 81540949248