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13013525504 = 21074342221
BaseRepresentation
bin11000001111010101…
…01010010000000000
31020120221020120222002
430013222222100000
5203122430304004
65551153003132
7640326066410
oct140752522000
936527216862
1013013525504
115578883361
1226322534a8
1312c5129165
148b648a640
1551272461e
hex307aaa400

13013525504 has 88 divisors (see below), whose sum is σ = 30422808768. Its totient is φ = 5447393280.

The previous prime is 13013525491. The next prime is 13013525531. The reversal of 13013525504 is 40552531031.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287114 + ... + 329334.

It is an arithmetic number, because the mean of its divisors is an integer number (345713736).

Almost surely, 213013525504 is an apocalyptic number.

13013525504 is a gapful number since it is divisible by the number (14) 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 13013525504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211404384).

13013525504 is an abundant number, since it is smaller than the sum of its proper divisors (17409283264).

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

13013525504 is an equidigital number, since it uses as much as digits as its factorization.

13013525504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42291 (or 42273 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The spelling of 13013525504 in words is "thirteen billion, thirteen million, five hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 512 602 688 896 1024 1204 1376 1792 2408 2752 3584 4816 5504 7168 9632 11008 19264 22016 38528 42221 44032 77056 84442 154112 168884 295547 308224 337768 591094 675536 1182188 1351072 1815503 2364376 2702144 3631006 4728752 5404288 7262012 9457504 10808576 12708521 14524024 18915008 21617152 25417042 29048048 37830016 43234304 50834084 58096096 75660032 101668168 116192192 151320064 203336336 232384384 302640128 406672672 464768768 813345344 929537536 1626690688 1859075072 3253381376 6506762752 13013525504