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81869232384 = 283419872
BaseRepresentation
bin100110000111111001…
…0010101100100000000
321211022121101220210000
41030033302111210000
52320132010414014
6101335445440000
75625536664462
oct1141762254400
9254277356700
1081869232384
11317a2058035
1213a49a10000
137949485194
143d69114132
1521e2650509
hex130fc95900

81869232384 has 135 divisors (see below), whose sum is σ = 244242157467. Its totient is φ = 27276009984.

The previous prime is 81869232371. The next prime is 81869232407. The reversal of 81869232384 is 48323296818.

The square root of 81869232384 is 286128.

It is a perfect power (a square), and thus also a powerful number.

81869232384 is a `hidden beast` number, since 81 + 86 + 92 + 323 + 84 = 666.

It is a super-2 number, since 2×818692323842 (a number of 23 digits) contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 81869232384.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 41201439 + ... + 41203425.

Almost surely, 281869232384 is an apocalyptic number.

81869232384 is the 286128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81869232384

81869232384 is an abundant number, since it is smaller than the sum of its proper divisors (162372925083).

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

81869232384 is an frugal number, since it uses more digits than its factorization.

81869232384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 1992 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 81869232384 in words is "eighty-one billion, eight hundred sixty-nine million, two hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 1987 2304 2592 3456 3974 5184 5961 6912 7948 10368 11922 15896 17883 20736 23844 31792 35766 47688 53649 63584 71532 95376 107298 127168 143064 160947 190752 214596 254336 286128 321894 381504 429192 508672 572256 643788 763008 858384 1144512 1287576 1526016 1716768 2289024 2575152 3433536 3948169 4578048 5150304 6867072 7896338 10300608 11844507 13734144 15792676 20601216 23689014 31585352 35533521 41202432 47378028 63170704 71067042 94756056 106600563 126341408 142134084 189512112 213201126 252682816 284268168 319801689 379024224 426402252 505365632 568536336 639603378 758048448 852804504 1010731264 1137072672 1279206756 1516096896 1705609008 2274145344 2558413512 3032193792 3411218016 4548290688 5116827024 6822436032 9096581376 10233654048 13644872064 20467308096 27289744128 40934616192 81869232384