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13461331520 = 265713462271
BaseRepresentation
bin11001000100101101…
…11001111001000000
31021202010212111100002
430202112321321000
5210032100102040
610103431015132
7654404300330
oct144226717100
937663774302
1013461331520
11578863067a
12273820a4a8
131366b38330
14919b370c0
1553bbcca15
hex3225b9e40

13461331520 has 112 divisors (see below), whose sum is σ = 39452141568. Its totient is φ = 4260280320.

The previous prime is 13461331501. The next prime is 13461331529. The reversal of 13461331520 is 2513316431.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (13461331529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202016 + ... + 260255.

It is an arithmetic number, because the mean of its divisors is an integer number (352251264).

Almost surely, 213461331520 is an apocalyptic number.

13461331520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13461331520 is an abundant number, since it is smaller than the sum of its proper divisors (25990810048).

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

13461331520 is a wasteful number, since it uses less digits than its factorization.

13461331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462308 (or 462298 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 13461331520 its reverse (2513316431), we get a palindrome (15974647951).

The spelling of 13461331520 in words is "thirteen billion, four hundred sixty-one million, three hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 14560 29120 462271 924542 1849084 2311355 3235897 3698168 4622710 6009523 6471794 7396336 9245420 12019046 12943588 14792672 16179485 18490840 24038092 25887176 29585344 30047615 32358970 36981680 42066661 48076184 51774352 60095230 64717940 73963360 84133322 96152368 103548704 120190460 129435880 147926720 168266644 192304736 207097408 210333305 240380920 258871760 336533288 384609472 420666610 480761840 517743520 673066576 841333220 961523680 1035487040 1346133152 1682666440 1923047360 2692266304 3365332880 6730665760 13461331520