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13008487752 = 23321323604259
BaseRepresentation
bin11000001110101110…
…11100010101001000
31020120120202122110200
430013113130111020
5203120133102002
65550453012200
7640235215161
oct140727342510
936516678420
1013008487752
115575a52427
122630624060
1312c4084140
148b5938768
1551207bb1c
hex3075dc548

13008487752 has 96 divisors (see below), whose sum is σ = 39591115200. Its totient is φ = 3828578688.

The previous prime is 13008487721. The next prime is 13008487759. The reversal of 13008487752 is 25778480031.

It is a junction number, because it is equal to n+sod(n) for n = 13008487698 and 13008487707.

It is not an unprimeable number, because it can be changed into a prime (13008487759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280602 + ... + 323657.

It is an arithmetic number, because the mean of its divisors is an integer number (412407450).

Almost surely, 213008487752 is an apocalyptic number.

13008487752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13008487752 is an abundant number, since it is smaller than the sum of its proper divisors (26582627448).

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

13008487752 is a wasteful number, since it uses less digits than its factorization.

13008487752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604307 (or 604300 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 13008487752 in words is "thirteen billion, eight million, four hundred eighty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 2392 2691 3588 5382 7176 10764 21528 604259 1208518 1812777 2417036 3625554 4834072 5438331 7251108 7855367 10876662 13897957 14502216 15710734 21753324 23566101 27795914 31421468 41693871 43506648 47132202 55591828 62842936 70698303 83387742 94264404 111183656 125081613 141396606 166775484 180673441 188528808 250163226 282793212 333550968 361346882 500326452 542020323 565586424 722693764 1000652904 1084040646 1445387528 1626060969 2168081292 3252121938 4336162584 6504243876 13008487752