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1739331042138 = 2321714833832831
BaseRepresentation
bin11001010011111000001…
…101010111101101011010
320011021111222012210001100
4121103320031113231122
5211444122221322023
63411012044332230
7236443146630624
oct31237015275532
96137458183040
101739331042138
11610712035698
12241116544076
13c8031027081
1460281141c14
153039d715c43
hex194f8357b5a

1739331042138 has 48 divisors (see below), whose sum is σ = 3992921726976. Its totient is φ = 545304389760.

The previous prime is 1739331042131. The next prime is 1739331042139. The reversal of 1739331042138 is 8312401339371.

1739331042138 is a `hidden beast` number, since 17 + 393 + 31 + 0 + 4 + 213 + 8 = 666.

It is a super-2 number, since 2×17393310421382 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1739331042093 and 1739331042102.

It is not an unprimeable number, because it can be changed into a prime (1739331042131) by changing a digit.

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, 1462618 + ... + 2370213.

It is an arithmetic number, because the mean of its divisors is an integer number (83185869312).

Almost surely, 21739331042138 is an apocalyptic number.

1739331042138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1739331042138 is an abundant number, since it is smaller than the sum of its proper divisors (2253590684838).

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

1739331042138 is a wasteful number, since it uses less digits than its factorization.

1739331042138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834339 (or 3834336 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1739331042138 in words is "one trillion, seven hundred thirty-nine billion, three hundred thirty-one million, forty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1483 2966 4449 8898 13347 25211 26694 50422 75633 151266 226899 453798 3832831 7665662 11498493 22996986 34495479 65158127 68990958 130316254 195474381 390948762 586423143 1172846286 5684088373 11368176746 17052265119 34104530238 51156795357 96629502341 102313590714 193259004682 289888507023 579777014046 869665521069 1739331042138