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13808475360 = 253259589219
BaseRepresentation
bin11001101110000110…
…01001110011100000
31022122100002020011100
430313003021303200
5211234432202420
610202111314400
7666121050441
oct146703116340
938570066140
1013808475360
115946584a09
12281451ba00
1313c0a314a4
1494dc9d2c8
1555c400190
hex3370c9ce0

13808475360 has 72 divisors (see below), whose sum is σ = 47121427080. Its totient is φ = 3682259712.

The previous prime is 13808475271. The next prime is 13808475371. The reversal of 13808475360 is 6357480831.

13808475360 is a `hidden beast` number, since 1 + 38 + 0 + 84 + 7 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4793170 + ... + 4796049.

It is an arithmetic number, because the mean of its divisors is an integer number (654464265).

Almost surely, 213808475360 is an apocalyptic number.

13808475360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13808475360 is an abundant number, since it is smaller than the sum of its proper divisors (33312951720).

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

13808475360 is a wasteful number, since it uses less digits than its factorization.

13808475360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9589240 (or 9589229 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

It can be divided in two parts, 138084 and 75360, that added together give a square (213444 = 4622).

The spelling of 13808475360 in words is "thirteen billion, eight hundred eight million, four hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9589219 19178438 28767657 38356876 47946095 57535314 76713752 86302971 95892190 115070628 143838285 153427504 172605942 191784380 230141256 287676570 306855008 345211884 383568760 431514855 460282512 575353140 690423768 767137520 863029710 920565024 1150706280 1380847536 1534275040 1726059420 2301412560 2761695072 3452118840 4602825120 6904237680 13808475360