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13175298240 = 2635131055713
BaseRepresentation
bin11000100010100111…
…10001100011000000
31021000012122111102220
430101103301203000
5203440334020430
610015212211040
7644332121136
oct142123614300
937005574386
1013175298240
115651126635
122678469a80
13131c7ba780
148cdb5b756
15521a2c110
hex3114f18c0

13175298240 has 112 divisors (see below), whose sum is σ = 45049427808. Its totient is φ = 3243147264.

The previous prime is 13175298161. The next prime is 13175298247. The reversal of 13175298240 is 4289257131.

It is a junction number, because it is equal to n+sod(n) for n = 13175298192 and 13175298201.

It is not an unprimeable number, because it can be changed into a prime (13175298247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515377 + ... + 540336.

It is an arithmetic number, because the mean of its divisors is an integer number (402227034).

Almost surely, 213175298240 is an apocalyptic number.

13175298240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13175298240 is an abundant number, since it is smaller than the sum of its proper divisors (31874129568).

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

13175298240 is a wasteful number, since it uses less digits than its factorization.

13175298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055746 (or 1055736 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 13175298240 in words is "thirteen billion, one hundred seventy-five million, two hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 1055713 2111426 3167139 4222852 5278565 6334278 8445704 10557130 12668556 13724269 15835695 16891408 21114260 25337112 27448538 31671390 33782816 41172807 42228520 50674224 54897076 63342780 67565632 68621345 82345614 84457040 101348448 109794152 126685560 137242690 164691228 168914080 202696896 205864035 219588304 253371120 274485380 329382456 337828160 411728070 439176608 506742240 548970760 658764912 823456140 878353216 1013484480 1097941520 1317529824 1646912280 2195883040 2635059648 3293824560 4391766080 6587649120 13175298240