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81932007840 = 25351271344029
BaseRepresentation
bin100110001001110000…
…1110011100110100000
321211110222112020111220
41030103201303212200
52320244043222330
6101350011135040
75630231401344
oct1142341634640
9254428466456
1081932007840
1131824534181
1213a66a44480
137959494517
143d735b5624
1521e7e00710
hex13138739a0

81932007840 has 96 divisors (see below), whose sum is σ = 260118190080. Its totient is φ = 21676483584.

The previous prime is 81932007827. The next prime is 81932007851. The reversal of 81932007840 is 4870023918.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 81932007792 and 81932007801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611055 + ... + 732974.

It is an arithmetic number, because the mean of its divisors is an integer number (2709564480).

Almost surely, 281932007840 is an apocalyptic number.

81932007840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81932007840 is an abundant number, since it is smaller than the sum of its proper divisors (178186182240).

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

81932007840 is a wasteful number, since it uses less digits than its factorization.

81932007840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344174 (or 1344166 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 81932007840 in words is "eighty-one billion, nine hundred thirty-two million, seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 10160 12192 15240 20320 30480 60960 1344029 2688058 4032087 5376116 6720145 8064174 10752232 13440290 16128348 20160435 21504464 26880580 32256696 40320870 43008928 53761160 64513392 80641740 107522320 129026784 161283480 170691683 215044640 322566960 341383366 512075049 645133920 682766732 853458415 1024150098 1365533464 1706916830 2048300196 2560375245 2731066928 3413833660 4096600392 5120750490 5462133856 6827667320 8193200784 10241500980 13655334640 16386401568 20483001960 27310669280 40966003920 81932007840