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13316917248 = 21132722489
BaseRepresentation
bin11000110011100000…
…00000100000000000
31021101002010111012100
430121300000200000
5204233112322443
610041231430400
7651001633425
oct143160004000
937332114170
1013316917248
115714064038
1226b7985400
131342c439bb
149048a3d4c
1552e1a33d3
hex319c00800

13316917248 has 72 divisors (see below), whose sum is σ = 38461755150. Its totient is φ = 4438966272.

The previous prime is 13316917213. The next prime is 13316917249. The reversal of 13316917248 is 84271961331.

13316917248 is a `hidden beast` number, since 1 + 3 + 316 + 91 + 7 + 248 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8091362304 + 5225554944 = 89952^2 + 72288^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13316917249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 342813 + ... + 379676.

Almost surely, 213316917248 is an apocalyptic number.

13316917248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13316917248 is an abundant number, since it is smaller than the sum of its proper divisors (25144837902).

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

13316917248 is an equidigital number, since it uses as much as digits as its factorization.

13316917248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722517 (or 722494 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 13316917248 in words is "thirteen billion, three hundred sixteen million, nine hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 722489 1444978 2167467 2889956 4334934 5779912 6502401 8669868 11559824 13004802 17339736 23119648 26009604 34679472 46239296 52019208 69358944 92478592 104038416 138717888 184957184 208076832 277435776 369914368 416153664 554871552 739828736 832307328 1109743104 1479657472 1664614656 2219486208 3329229312 4438972416 6658458624 13316917248