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81678780054 = 23373109190093
BaseRepresentation
bin100110000010001101…
…1110100011010010110
321210211100000221022000
41030010123310122112
52314234231430204
6101304523420130
75621035114044
oct1140433643226
9253740027260
1081678780054
11317045a6413
12139b6084646
137918b918b1
143d4bad9394
1521d0a80039
hex13046f4696

81678780054 has 64 divisors (see below), whose sum is σ = 185683819200. Its totient is φ = 26606797056.

The previous prime is 81678780013. The next prime is 81678780083. The reversal of 81678780054 is 45008787618.

It is a happy number.

It is a super-2 number, since 2×816787800542 (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 Curzon number.

It is a congruent number.

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, 334632 + ... + 524724.

It is an arithmetic number, because the mean of its divisors is an integer number (2901309675).

Almost surely, 281678780054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81678780054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92841909600).

81678780054 is an abundant number, since it is smaller than the sum of its proper divisors (104005039146).

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

81678780054 is a wasteful number, since it uses less digits than its factorization.

81678780054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190286 (or 190280 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 81678780054 in words is "eighty-one billion, six hundred seventy-eight million, seven hundred eighty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 73 109 146 218 219 327 438 654 657 981 1314 1962 1971 2943 3942 5886 7957 15914 23871 47742 71613 143226 190093 214839 380186 429678 570279 1140558 1710837 3421674 5132511 10265022 13876789 20720137 27753578 41440274 41630367 62160411 83260734 124320822 124891101 186481233 249782202 372962466 374673303 559443699 749346606 1118887398 1512570001 3025140002 4537710003 9075420006 13613130009 27226260018 40839390027 81678780054