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81614337732 = 2232172931148339
BaseRepresentation
bin100110000000010010…
…1111111011011000100
321210122211202221001100
41030000211333123010
52314121232301412
6101254302300100
75616323265414
oct1140045773304
9253584687040
1081614337732
11316811909a4
1213998587630
13790871a945
143d43322644
1521ca0a0edc
hex130097f6c4

81614337732 has 144 divisors (see below), whose sum is σ = 233261683200. Its totient is φ = 23923952640.

The previous prime is 81614337697. The next prime is 81614337793. The reversal of 81614337732 is 23773341618.

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 47 ways as a sum of consecutive naturals, for example, 476019 + ... + 624357.

It is an arithmetic number, because the mean of its divisors is an integer number (1619872800).

Almost surely, 281614337732 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 81614337732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116630841600).

81614337732 is an abundant number, since it is smaller than the sum of its proper divisors (151647345468).

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

81614337732 is a wasteful number, since it uses less digits than its factorization.

81614337732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148426 (or 148421 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 81614337732 in words is "eighty-one billion, six hundred fourteen million, three hundred thirty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 29 31 34 36 51 58 62 68 87 93 102 116 124 153 174 186 204 261 279 306 348 372 493 522 527 558 612 899 986 1044 1054 1116 1479 1581 1798 1972 2108 2697 2958 3162 3596 4437 4743 5394 5916 6324 8091 8874 9486 10788 15283 16182 17748 18972 30566 32364 45849 61132 91698 137547 148339 183396 275094 296678 445017 550188 593356 890034 1335051 1780068 2521763 2670102 4301831 4598509 5043526 5340204 7565289 8603662 9197018 10087052 12905493 13795527 15130578 17207324 18394036 22695867 25810986 27591054 30261156 38716479 41386581 45391734 51621972 55182108 73131127 77432958 78174653 82773162 90783468 133356761 146262254 154865916 156349306 165546324 219393381 234523959 266713522 292524508 312698612 400070283 438786762 469047918 533427044 658180143 703571877 800140566 877573524 938095836 1200210849 1316360286 1407143754 1600281132 2267064937 2400421698 2632720572 2814287508 4534129874 4800843396 6801194811 9068259748 13602389622 20403584433 27204779244 40807168866 81614337732