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13584314952 = 2334136592447
BaseRepresentation
bin11001010011011000…
…00011001001001000
31022001201021200220000
430221230003021020
5210310041034302
610123543003000
7660426525525
oct145154031110
938051250800
1013584314952
115840a9a97a
122771439460
1313864681b0
1492c1cc14c
155478c231c
hex329b03248

13584314952 has 160 divisors (see below), whose sum is σ = 41054428800. Its totient is φ = 4171741056.

The previous prime is 13584314941. The next prime is 13584314957. The reversal of 13584314952 is 25941348531.

13584314952 is a `hidden beast` number, since 1 + 3 + 584 + 3 + 14 + 9 + 52 = 666.

It is a super-2 number, since 2×135843149522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13584314898 and 13584314907.

It is not an unprimeable number, because it can be changed into a prime (13584314957) 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 39 ways as a sum of consecutive naturals, for example, 5550193 + ... + 5552639.

It is an arithmetic number, because the mean of its divisors is an integer number (256590180).

Almost surely, 213584314952 is an apocalyptic number.

13584314952 is a gapful number since it is divisible by the number (12) 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 13584314952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527214400).

13584314952 is an abundant number, since it is smaller than the sum of its proper divisors (27470113848).

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

13584314952 is a wasteful number, since it uses less digits than its factorization.

13584314952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3124 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 13584314952 in words is "thirteen billion, five hundred eighty-four million, three hundred fourteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 659 702 936 1053 1318 1404 1977 2106 2447 2636 2808 3954 4212 4894 5272 5931 7341 7908 8424 8567 9788 11862 14682 15816 17134 17793 19576 22023 23724 25701 29364 31811 34268 35586 44046 47448 51402 53379 58728 63622 66069 68536 71172 77103 88092 95433 102804 106758 127244 132138 142344 154206 176184 190866 198207 205608 213516 231309 254488 264276 286299 308412 381732 396414 427032 462618 528552 572598 616824 693927 763464 792828 858897 925236 1145196 1387854 1585656 1612573 1717794 1850472 2290392 2576691 2775708 3225146 3435588 4837719 5153382 5551416 6450292 6871176 9675438 10306764 12900584 14513157 19350876 20613528 20963449 29026314 38701752 41926898 43539471 58052628 62890347 83853796 87078942 116105256 125780694 130618413 167707592 174157884 188671041 251561388 261236826 348315768 377342082 503122776 522473652 566013123 754684164 1044947304 1132026246 1509368328 1698039369 2264052492 3396078738 4528104984 6792157476 13584314952