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13230206472 = 2337791795569
BaseRepresentation
bin11000101001001010…
…01110111000001000
31021011000222010101010
430110211032320020
5204043413101342
610024453123520
7645566620350
oct142445167010
937130863333
1013230206472
11567a119a3a
1226929295a0
13132aca3c52
148d7171b60
1552677629c
hex31494ee08

13230206472 has 128 divisors (see below), whose sum is σ = 38499840000. Its totient is φ = 3710693376.

The previous prime is 13230206471. The next prime is 13230206543. The reversal of 13230206472 is 27460203231.

It is not an unprimeable number, because it can be changed into a prime (13230206471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2372904 + ... + 2378472.

It is an arithmetic number, because the mean of its divisors is an integer number (300780000).

Almost surely, 213230206472 is an apocalyptic number.

13230206472 is a gapful number since it is divisible by the number (12) 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 13230206472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19249920000).

13230206472 is an abundant number, since it is smaller than the sum of its proper divisors (25269633528).

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

13230206472 is a wasteful number, since it uses less digits than its factorization.

13230206472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 13230206472 in words is "thirteen billion, two hundred thirty million, two hundred six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 179 237 316 358 474 537 553 632 716 948 1074 1106 1253 1432 1659 1896 2148 2212 2506 3318 3759 4296 4424 5012 5569 6636 7518 10024 11138 13272 14141 15036 16707 22276 28282 30072 33414 38983 42423 44552 56564 66828 77966 84846 98987 113128 116949 133656 155932 169692 197974 233898 296961 311864 339384 395948 439951 467796 593922 791896 879902 935592 996851 1187844 1319853 1759804 1993702 2375688 2639706 2990553 3079657 3519608 3987404 5279412 5981106 6159314 6977957 7974808 9238971 10558824 11962212 12318628 13955914 18477942 20933871 23924424 24637256 27911828 36955884 41867742 55823656 73911768 78751229 83735484 157502458 167470968 236253687 315004916 472507374 551258603 630009832 945014748 1102517206 1653775809 1890029496 2205034412 3307551618 4410068824 6615103236 13230206472