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38018181981816 = 23322387623262007
BaseRepresentation
bin10001010010011110011000…
…01110110110011001111000
311222121111120110200112111100
420221033030032312121320
514440342214041404231
6212505151154131400
711002502663612001
oct1051171416663170
9158544513615440
1038018181981816
1111128469662343
124320218280b60
13182a139b7c91a
149561386a81a8
1545de180931e6
hex2293cc3b6678

38018181981816 has 96 divisors (see below), whose sum is σ = 107444324482560. Its totient is φ = 12121554578496.

The previous prime is 38018181981799. The next prime is 38018181981821. The reversal of 38018181981816 is 61818918181083.

38018181981816 is a `hidden beast` number, since 380 + 1 + 81 + 81 + 98 + 1 + 8 + 16 = 666.

38018181981816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×380181819818162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144972685 + ... + 145234691.

It is an arithmetic number, because the mean of its divisors is an integer number (1119211713360).

Almost surely, 238018181981816 is an apocalyptic number.

38018181981816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38018181981816 is an abundant number, since it is smaller than the sum of its proper divisors (69426142500744).

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

38018181981816 is a wasteful number, since it uses less digits than its factorization.

38018181981816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349665 (or 349658 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 63.

The spelling of 38018181981816 in words is "thirty-eight trillion, eighteen billion, one hundred eighty-one million, nine hundred eighty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 87623 175246 262007 262869 350492 524014 525738 700984 786021 788607 1048028 1051476 1572042 1577214 2015329 2096056 2102952 2358063 3144084 3154428 4030658 4716126 6026161 6045987 6288168 6308856 8061316 9432252 12052322 12091974 16122632 18078483 18137961 18864504 24104644 24183948 36156966 36275922 48209288 48367896 54235449 72313932 72551844 108470898 144627864 145103688 216941796 433883592 22957839361 45915678722 68873518083 91831357444 137747036166 183662714888 206620554249 275494072332 413241108498 528030305303 550988144664 826482216996 1056060610606 1584090915909 1652964433992 2112121221212 3168181831818 4224242442424 4752272747727 6336363663636 9504545495454 12672727327272 19009090990908 38018181981816