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81986755984 = 24717313474003
BaseRepresentation
bin100110001011011001…
…0101001110110010000
321211121210112201211221
41030112302221312100
52320402102142414
6101355244414424
75631464633050
oct1142662516620
9254553481757
1081986755984
1131852428281
1213a81247414
137967922b83
143d7a987560
1521ecb17224
hex1316ca9d90

81986755984 has 160 divisors (see below), whose sum is σ = 199043260416. Its totient is φ = 31903303680.

The previous prime is 81986755973. The next prime is 81986756011. The reversal of 81986755984 is 48955768918.

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 31 ways as a sum of consecutive naturals, for example, 20479327 + ... + 20483329.

Almost surely, 281986755984 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 81986755984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99521630208).

81986755984 is an abundant number, since it is smaller than the sum of its proper divisors (117056504432).

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

81986755984 is a wasteful number, since it uses less digits than its factorization.

81986755984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4407 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 70.

The spelling of 81986755984 in words is "eighty-one billion, nine hundred eighty-six million, seven hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 217 238 248 272 347 434 476 496 527 694 868 952 1054 1388 1736 1904 2108 2429 2776 3472 3689 4003 4216 4858 5552 5899 7378 8006 8432 9716 10757 11798 14756 16012 19432 21514 23596 28021 29512 32024 38864 41293 43028 47192 56042 59024 64048 68051 75299 82586 86056 94384 112084 124093 136102 150598 165172 172112 182869 224168 248186 272204 301196 330344 365738 448336 476357 496372 544408 602392 660688 731476 868651 952714 992744 1088816 1204784 1280083 1389041 1462952 1737302 1905428 1985488 2109581 2560166 2778082 2925904 3474604 3810856 4219162 5120332 5556164 6949208 7621712 8438324 9723287 10240664 11112328 13898416 14767067 16876648 19446574 20481328 22224656 23613697 29534134 33753296 38893148 43060271 47227394 59068268 77786296 86120542 94454788 118136536 155572592 165295879 172241084 188909576 236273072 301421897 330591758 344482168 377819152 602843794 661183516 688964336 732024607 1205687588 1322367032 1464049214 2411375176 2644734064 2928098428 4822750352 5124172249 5856196856 10248344498 11712393712 20496688996 40993377992 81986755984