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1993378733991 = 3211511907100907
BaseRepresentation
bin11101000000011110101…
…000011001111110100111
321001120020222202200112200
4131000132220121332213
5230124414423441431
64123425012145543
7264005532446361
oct35003650317647
97046228680480
101993378733991
116a9429367717
122823b66082b3
13115c898652a8
146c6a135dd31
1536cbba75ee6
hex1d01ea19fa7

1993378733991 has 24 divisors (see below), whose sum is σ = 2883366180864. Its totient is φ = 1327055168400.

The previous prime is 1993378733989. The next prime is 1993378734031.

1993378733991 is a `hidden beast` number, since 19 + 93 + 3 + 78 + 73 + 399 + 1 = 666.

1993378733991 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1993378733991 - 21 = 1993378733989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993378733921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19704160 + ... + 19805066.

It is an arithmetic number, because the mean of its divisors is an integer number (120140257536).

Almost surely, 21993378733991 is an apocalyptic number.

1993378733991 is a deficient number, since it is larger than the sum of its proper divisors (889987446873).

1993378733991 is a wasteful number, since it uses less digits than its factorization.

1993378733991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103971 (or 103968 counting only the distinct ones).

The product of its digits is 208324872, while the sum is 72.

The spelling of 1993378733991 in words is "one trillion, nine hundred ninety-three billion, three hundred seventy-eight million, seven hundred thirty-three thousand, nine hundred ninety-one".

Divisors: 1 3 9 1151 1907 3453 5721 10359 17163 100907 302721 908163 2194957 6584871 19754613 116143957 192429649 348431871 577288947 1045295613 1731866841 221486525999 664459577997 1993378733991