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13999195227688 = 23112157199462887
BaseRepresentation
bin1100101110110111000100…
…0011110000011000101000
31211120022100222121021200121
43023231301003300120220
53313330322434241223
645435050322013024
72643260052036436
oct313556103603050
954508328537617
1013999195227688
114508030825300
1216a117a1a7174
137a71702bcb08
143657c961dd56
1519424043215d
hexcbb710f0628

13999195227688 has 96 divisors (see below), whose sum is σ = 29181385296000. Its totient is φ = 6290954017920.

The previous prime is 13999195227683. The next prime is 13999195227701. The reversal of 13999195227688 is 88672259199931.

It is not an unprimeable number, because it can be changed into a prime (13999195227683) 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, 30011781 + ... + 30474667.

It is an arithmetic number, because the mean of its divisors is an integer number (303972763500).

Almost surely, 213999195227688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13999195227688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14590692648000).

13999195227688 is an abundant number, since it is smaller than the sum of its proper divisors (15182190068312).

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

13999195227688 is a wasteful number, since it uses less digits than its factorization.

13999195227688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463271 (or 463256 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 79.

The spelling of 13999195227688 in words is "thirteen trillion, nine hundred ninety-nine billion, one hundred ninety-five million, two hundred twenty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 157 199 242 314 398 484 628 796 968 1256 1592 1727 2189 3454 4378 6908 8756 13816 17512 18997 24079 31243 37994 48158 62486 75988 96316 124972 151976 192632 249944 343673 462887 687346 925774 1374692 1851548 2749384 3703096 3780403 5091757 7560806 10183514 15121612 20367028 30243224 40734056 56009327 72673259 92114513 112018654 145346518 184229026 224037308 290693036 368458052 448074616 581386072 736916104 799405849 1013259643 1598811698 2026519286 3197623396 4053038572 6395246792 8106077144 8793464339 11145856073 14461978541 17586928678 22291712146 28923957082 35173857356 44583424292 57847914164 70347714712 89166848584 115695828328 159081763951 318163527902 636327055804 1272654111608 1749899403461 3499798806922 6999597613844 13999195227688