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13234451328 = 27347182353
BaseRepresentation
bin11000101001101010…
…11011001110000000
31021011022221210020000
430110311123032000
5204101004420303
610025124120000
7645650660130
oct142465331600
937138853200
1013234451328
11568155918a
122694236000
13132bb2c0b7
148d7958ac0
15526d13da3
hex314d5b380

13234451328 has 160 divisors (see below), whose sum is σ = 45012261360. Its totient is φ = 3781251072.

The previous prime is 13234451317. The next prime is 13234451341. The reversal of 13234451328 is 82315443231.

13234451328 is a `hidden beast` number, since 1 + 323 + 4 + 4 + 5 + 1 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13234451292 and 13234451301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18601 + ... + 163752.

Almost surely, 213234451328 is an apocalyptic number.

13234451328 is a gapful number since it is divisible by the number (18) 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 13234451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506130680).

13234451328 is an abundant number, since it is smaller than the sum of its proper divisors (31777810032).

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

13234451328 is an equidigital number, since it uses as much as digits as its factorization.

13234451328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182386 (or 182365 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 13234451328 its reverse (82315443231), we get a palindrome (95549894559).

The spelling of 13234451328 in words is "thirteen billion, two hundred thirty-four million, four hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 182353 364706 547059 729412 1094118 1276471 1458824 1641177 2188236 2552942 2917648 3282354 3829413 4376472 4923531 5105884 5835296 6564708 7658826 8752944 9847062 10211768 11488239 11670592 13129416 14770593 15317652 17505888 19694124 20423536 22976478 23341184 26258832 29541186 30635304 34464717 35011776 39388248 40847072 45952956 52517664 59082372 61270608 68929434 70023552 78776496 81694144 91905912 103394151 105035328 118164744 122541216 137858868 157552992 163388288 183811824 206788302 210070656 236329488 245082432 275717736 315105984 367623648 413576604 472658976 490164864 551435472 630211968 735247296 827153208 945317952 1102870944 1470494592 1654306416 1890635904 2205741888 3308612832 4411483776 6617225664 13234451328