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13538456856 = 2333307204163
BaseRepresentation
bin11001001101111010…
…00111010100011000
31021221111222212102000
430212331013110120
5210211321104411
610115224041000
7656331661461
oct144675072430
937844885360
1013538456856
115818119021
12275a003160
131379b00122
14926091d68
15543864956
hex326f47518

13538456856 has 64 divisors (see below), whose sum is σ = 37729507200. Its totient is φ = 4498097184.

The previous prime is 13538456797. The next prime is 13538456873. The reversal of 13538456856 is 65865483531.

It is a happy number.

13538456856 is a `hidden beast` number, since 1 + 3 + 538 + 4 + 56 + 8 + 56 = 666.

13538456856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35770 + ... + 168393.

It is an arithmetic number, because the mean of its divisors is an integer number (589523550).

Almost surely, 213538456856 is an apocalyptic number.

It is an amenable number.

13538456856 is an abundant number, since it is smaller than the sum of its proper divisors (24191050344).

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

13538456856 is a wasteful number, since it uses less digits than its factorization.

13538456856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204485 (or 204475 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 13538456856 in words is "thirteen billion, five hundred thirty-eight million, four hundred fifty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 307 614 921 1228 1842 2456 2763 3684 5526 7368 8289 11052 16578 22104 33156 66312 204163 408326 612489 816652 1224978 1633304 1837467 2449956 3674934 4899912 5512401 7349868 11024802 14699736 22049604 44099208 62678041 125356082 188034123 250712164 376068246 501424328 564102369 752136492 1128204738 1504272984 1692307107 2256409476 3384614214 4512818952 6769228428 13538456856