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13823809560 = 23325112317351
BaseRepresentation
bin11001101111111011…
…01001100000011000
31022200101221021201200
430313331221200120
5211302343401220
610203420114200
7666365304531
oct146775514030
938611837650
1013823809560
1159541a8800
122819695960
1313c3c6cc92
14951d31688
1555d92d890
hex337f69818

13823809560 has 144 divisors (see below), whose sum is σ = 49383144720. Its totient is φ = 3351216000.

The previous prime is 13823809543. The next prime is 13823809561. The reversal of 13823809560 is 6590832831.

It is a happy number.

13823809560 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 3 + 80 + 9 + 560 = 666.

It is a super-2 number, since 2×138238095602 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13823809561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115116 + ... + 202235.

It is an arithmetic number, because the mean of its divisors is an integer number (342938505).

Almost surely, 213823809560 is an apocalyptic number.

13823809560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13823809560 is an abundant number, since it is smaller than the sum of its proper divisors (35559335160).

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

13823809560 is a wasteful number, since it uses less digits than its factorization.

13823809560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317390 (or 317372 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13823809560 in words is "thirteen billion, eight hundred twenty-three million, eight hundred nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 317351 634702 952053 1269404 1586755 1904106 2538808 2856159 3173510 3490861 3808212 4760265 5712318 6347020 6981722 7616424 9520530 10472583 11424636 12694040 13963444 14280795 17454305 19041060 20945166 22849272 27926888 28561590 31417749 34908610 38082120 38399471 41890332 52362915 57123180 62835498 69817220 76798942 83780664 104725830 114246360 115198413 125670996 139634440 153597884 157088745 191997355 209451660 230396826 251341992 307195768 314177490 345595239 383994710 418903320 460793652 575992065 628354980 691190478 767989420 921587304 1151984130 1256709960 1382380956 1535978840 1727976195 2303968260 2764761912 3455952390 4607936520 6911904780 13823809560