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13356848640 = 29351739173
BaseRepresentation
bin11000111000010000…
…10101011000000000
31021110212021012202210
430130020111120000
5204323323124030
610045215342120
7651665224452
oct143410253000
937425235683
1013356848640
115734658093
122709221940
13134b2b5245
14909cda2d2
1553293ebb0
hex31c215600

13356848640 has 80 divisors (see below), whose sum is σ = 42700200048. Its totient is φ = 3561824256.

The previous prime is 13356848611. The next prime is 13356848657. The reversal of 13356848640 is 4684865331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13356848640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 861907 + ... + 877266.

Almost surely, 213356848640 is an apocalyptic number.

13356848640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13356848640 is an abundant number, since it is smaller than the sum of its proper divisors (29343351408).

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

13356848640 is an equidigital number, since it uses as much as digits as its factorization.

13356848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739199 (or 1739183 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

It can be divided in two parts, 13 and 356848640, that added together give a palindrome (356848653).

The spelling of 13356848640 in words is "thirteen billion, three hundred fifty-six million, eight hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 1739173 3478346 5217519 6956692 8695865 10435038 13913384 17391730 20870076 26087595 27826768 34783460 41740152 52175190 55653536 69566920 83480304 104350380 111307072 139133840 166960608 208700760 222614144 278267680 333921216 417401520 445228288 556535360 667842432 834803040 890456576 1113070720 1335684864 1669606080 2226141440 2671369728 3339212160 4452282880 6678424320 13356848640