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81486166272 = 283760724971
BaseRepresentation
bin100101111100011110…
…1000011100100000000
321210022220121010212020
41023320331003210000
52313340424310042
6101233443201440
75613205661610
oct1137075034400
9253286533766
1081486166272
11316158a8875
1213961676280
1378b7cc2544
143d302baa40
1521bdbd43ec
hex12f8f43900

81486166272 has 144 divisors (see below), whose sum is σ = 248272023552. Its totient is φ = 23242475520.

The previous prime is 81486166271. The next prime is 81486166277. The reversal of 81486166272 is 27266168418.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (81486166271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3250747 + ... + 3275717.

Almost surely, 281486166272 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 81486166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124136011776).

81486166272 is an abundant number, since it is smaller than the sum of its proper divisors (166785857280).

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

81486166272 is a wasteful number, since it uses less digits than its factorization.

81486166272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25604 (or 25590 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The spelling of 81486166272 in words is "eighty-one billion, four hundred eighty-six million, one hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 607 672 768 896 1214 1344 1792 1821 2428 2688 3642 4249 4856 5376 7284 8498 9712 12747 14568 16996 19424 24971 25494 29136 33992 38848 49942 50988 58272 67984 74913 77696 99884 101976 116544 135968 149826 155392 174797 199768 203952 233088 271936 299652 349594 399536 407904 466176 524391 543872 599304 699188 799072 815808 1048782 1087744 1198608 1398376 1598144 1631616 2097564 2397216 2796752 3196288 3263232 4195128 4794432 5593504 6392576 8390256 9588864 11187008 15157397 16780512 19177728 22374016 30314794 33561024 44748032 45472191 60629588 67122048 90944382 106101779 121259176 134244096 181888764 212203558 242518352 318305337 363777528 424407116 485036704 636610674 727555056 848814232 970073408 1273221348 1455110112 1697628464 1940146816 2546442696 2910220224 3395256928 3880293632 5092885392 5820440448 6790513856 10185770784 11640880896 13581027712 20371541568 27162055424 40743083136 81486166272