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134426556404 = 227191019292693
BaseRepresentation
bin111110100110001110…
…0100111011111110100
3110211222102021121110022
41331030130213133310
54200301144301104
6141431003344312
712466133606420
oct1751434473764
9424872247408
10134426556404
1152012317508
1222077222098
13c8a3ca528a
146713337b80
15376b795bbe
hex1f4c7277f4

134426556404 has 96 divisors (see below), whose sum is σ = 286219180800. Its totient is φ = 53960601600.

The previous prime is 134426556391. The next prime is 134426556409. The reversal of 134426556404 is 404655624431.

It is a super-2 number, since 2×1344265564042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134426556409) 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 31 ways as a sum of consecutive naturals, for example, 49915682 + ... + 49918374.

It is an arithmetic number, because the mean of its divisors is an integer number (2981449800).

Almost surely, 2134426556404 is an apocalyptic number.

134426556404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134426556404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143109590400).

134426556404 is an abundant number, since it is smaller than the sum of its proper divisors (151792624396).

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

134426556404 is a wasteful number, since it uses less digits than its factorization.

134426556404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 134426556404 in words is "one hundred thirty-four billion, four hundred twenty-six million, five hundred fifty-six thousand, four hundred four".

Divisors: 1 2 4 7 14 19 28 38 76 101 133 202 266 404 532 707 929 1414 1858 1919 2693 2828 3716 3838 5386 6503 7676 10772 13006 13433 17651 18851 26012 26866 35302 37702 51167 53732 70604 75404 93829 102334 123557 187658 204668 247114 271993 358169 375316 494228 543986 656803 716338 1087972 1313606 1432676 1782751 1903951 2501797 2627212 3565502 3807902 5003594 5167867 7131004 7615804 10007188 10335734 12479257 17512579 20671468 24958514 35025158 36175069 47534143 49917028 70050316 72350138 95068286 144700276 190136572 252681497 332739001 505362994 665478002 1010725988 1330956004 1768770479 3537540958 4800948443 7075081916 9601896886 19203793772 33606639101 67213278202 134426556404