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109591712055 = 32571959310357
BaseRepresentation
bin110011000010000101…
…1001101000100110111
3101110212122010210121100
41212010023031010313
53243420434241210
6122202402421143
710626533116410
oct1460413150467
9343778123540
10109591712055
1142528734361
12192a60617b3
13a446a460c7
145438ca2807
152cb63485c0
hex19842cd137

109591712055 has 96 divisors (see below), whose sum is σ = 232396070400. Its totient is φ = 46657679616.

The previous prime is 109591712029. The next prime is 109591712057. The reversal of 109591712055 is 550217195901.

It is a happy number.

109591712055 is a `hidden beast` number, since 1 + 0 + 9 + 591 + 7 + 1 + 2 + 0 + 55 = 666.

It is not a de Polignac number, because 109591712055 - 27 = 109591711927 is a prime.

It is a super-2 number, since 2×1095917120552 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 109591712055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109591712057) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 197937 + ... + 508293.

It is an arithmetic number, because the mean of its divisors is an integer number (2420792400).

Almost surely, 2109591712055 is an apocalyptic number.

109591712055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109591712055 is an abundant number, since it is smaller than the sum of its proper divisors (122804358345).

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

109591712055 is a wasteful number, since it uses less digits than its factorization.

109591712055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310453 (or 310450 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 45.

The spelling of 109591712055 in words is "one hundred nine billion, five hundred ninety-one million, seven hundred twelve thousand, fifty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 59 63 95 105 133 171 177 285 295 315 399 413 531 665 855 885 1121 1197 1239 1995 2065 2655 3363 3717 5605 5985 6195 7847 10089 16815 18585 23541 39235 50445 70623 117705 310357 353115 931071 1551785 2172499 2793213 4655355 5896783 6517497 10862495 13966065 17690349 18311063 19552491 29483915 32587485 41277481 53071047 54933189 88451745 91555315 97762455 123832443 128177441 164799567 206387405 265355235 274665945 347910197 371497329 384532323 619162215 640887205 823997835 1043730591 1153596969 1739550985 1857486645 1922661615 2435371379 3131191773 5218652955 5767984845 7306114137 12176856895 15655958865 21918342411 36530570685 109591712055