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13221464704 = 277292392129
BaseRepresentation
bin11000101000000111…
…11000101010000000
31021010102111222220221
430110003320222000
5204034143332304
610023541512424
7645432411220
oct142403705200
937112458827
1013221464704
115675199138
12268ba12714
131329232cc6
148d5d38080
15525aeb054
hex3140f8a80

13221464704 has 128 divisors (see below), whose sum is σ = 31285440000. Its totient is φ = 5445500928.

The previous prime is 13221464677. The next prime is 13221464713. The reversal of 13221464704 is 40746412231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 13221464704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6209112 + ... + 6211240.

It is an arithmetic number, because the mean of its divisors is an integer number (244417500).

Almost surely, 213221464704 is an apocalyptic number.

13221464704 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 13221464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642720000).

13221464704 is an abundant number, since it is smaller than the sum of its proper divisors (18063975296).

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

13221464704 is a wasteful number, since it uses less digits than its factorization.

13221464704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

Adding to 13221464704 its reverse (40746412231), we get a palindrome (53967876935).

The spelling of 13221464704 in words is "thirteen billion, two hundred twenty-one million, four hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 239 406 448 464 478 812 896 928 956 1624 1673 1856 1912 2129 3248 3346 3712 3824 4258 6496 6692 6931 7648 8516 12992 13384 13862 14903 15296 17032 25984 26768 27724 29806 30592 34064 48517 53536 55448 59612 61741 68128 97034 107072 110896 119224 123482 136256 194068 214144 221792 238448 246964 272512 388136 432187 443584 476896 493928 508831 776272 864374 887168 953792 987856 1017662 1552544 1728748 1907584 1975712 2035324 3105088 3457496 3561817 3951424 4070648 6210176 6914992 7123634 7902848 8141296 13829984 14247268 14756099 16282592 27659968 28494536 29512198 32565184 55319936 56989072 59024396 65130368 103292693 113978144 118048792 206585386 227956288 236097584 413170772 455912576 472195168 826341544 944390336 1652683088 1888780672 3305366176 6610732352 13221464704