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13328601280 = 265311638243
BaseRepresentation
bin11000110100111001…
…00101000011000000
31021101220010002200021
430122130211003000
5204244110220110
610042330103224
7651203145601
oct143234450300
937356102607
1013328601280
11571a714465
1226bb87ab14
1313454a4c27
14906265da8
155302102da
hex31a7250c0

13328601280 has 112 divisors (see below), whose sum is σ = 32967558144. Its totient is φ = 5127183360.

The previous prime is 13328601263. The next prime is 13328601287. The reversal of 13328601280 is 8210682331.

It is a happy number.

It is a super-2 number, since 2×133286012802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13328601287) 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, 1612839 + ... + 1621081.

Almost surely, 213328601280 is an apocalyptic number.

13328601280 is a gapful number since it is divisible by the number (10) 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 13328601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483779072).

13328601280 is an abundant number, since it is smaller than the sum of its proper divisors (19638956864).

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

13328601280 is a wasteful number, since it uses less digits than its factorization.

13328601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454 (or 8444 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 13328601280 in words is "thirteen billion, three hundred twenty-eight million, six hundred one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 163 248 310 320 326 496 620 652 815 992 1240 1304 1630 1984 2480 2608 3260 4960 5053 5216 6520 8243 9920 10106 10432 13040 16486 20212 25265 26080 32972 40424 41215 50530 52160 65944 80848 82430 101060 131888 161696 164860 202120 255533 263776 323392 329720 404240 511066 527552 659440 808480 1022132 1277665 1318880 1343609 1616960 2044264 2555330 2637760 2687218 4088528 5110660 5374436 6718045 8177056 10221320 10748872 13436090 16354112 20442640 21497744 26872180 40885280 41651879 42995488 53744360 81770560 83303758 85990976 107488720 166607516 208259395 214977440 333215032 416518790 429954880 666430064 833037580 1332860128 1666075160 2665720256 3332150320 6664300640 13328601280