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13804707804408 = 23328314419160207
BaseRepresentation
bin1100100011100010100010…
…1101000111010011111000
31210212201100211012111211100
43020320220231013103320
53302134020144220113
645205443433331400
72623233346154613
oct310705055072370
953781324174740
1013804707804408
1144425a8738634
12166b540866b60
13791a17098c71
1435a21970b17a
1518e15ae13d73
hexc8e28b474f8

13804707804408 has 96 divisors (see below), whose sum is σ = 37841065516800. Its totient is φ = 4545785012544.

The previous prime is 13804707804403. The next prime is 13804707804413. The reversal of 13804707804408 is 80440870740831.

13804707804408 is a `hidden beast` number, since 1 + 3 + 80 + 47 + 0 + 7 + 80 + 440 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13804707804403) and next prime (13804707804413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13804707804403) 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, 86087841 + ... + 86248047.

It is an arithmetic number, because the mean of its divisors is an integer number (394177765800).

Almost surely, 213804707804408 is an apocalyptic number.

13804707804408 is a gapful number since it is divisible by the number (18) 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 13804707804408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18920532758400).

13804707804408 is an abundant number, since it is smaller than the sum of its proper divisors (24036357712392).

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

13804707804408 is a wasteful number, since it uses less digits than its factorization.

13804707804408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174721 (or 174714 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 13804707804408 in words is "thirteen trillion, eight hundred four billion, seven hundred seven million, eight hundred four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 14419 28838 43257 57676 86514 115352 129771 160207 173028 259542 320414 346056 480621 519084 640828 961242 1038168 1196777 1281656 1441863 1922484 2393554 2883726 3590331 3844968 4787108 5767452 7180662 9574216 10770993 11534904 13297181 14361324 21541986 26594362 28722648 39891543 43083972 53188724 79783086 86167944 106377448 119674629 159566172 239349258 319132344 478698516 957397032 2310024733 4620049466 6930074199 9240098932 13860148398 18480197864 20790222597 27720296796 41580445194 55440593592 83160890388 166321780776 191732052839 383464105678 575196158517 766928211356 1150392317034 1533856422712 1725588475551 2300784634068 3451176951102 4601569268136 6902353902204 13804707804408