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13480850944 = 2911171031367
BaseRepresentation
bin11001000111000010…
…10111011000000000
31021210111121011221201
430203201113120000
5210102044212234
610105405230544
7655032225301
oct144341273000
937714534851
1013480850944
115798652930
122742862454
13136abb0aa2
1491c5787a8
1553d786314
hex323857600

13480850944 has 160 divisors (see below), whose sum is σ = 31437559296. Its totient is φ = 5707038720.

The previous prime is 13480850917. The next prime is 13480850969. The reversal of 13480850944 is 44905808431.

It is a super-2 number, since 2×134808509442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13480850894 and 13480850903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9860949 + ... + 9862315.

Almost surely, 213480850944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13480850944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718779648).

13480850944 is an abundant number, since it is smaller than the sum of its proper divisors (17956708352).

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

13480850944 is a wasteful number, since it uses less digits than its factorization.

13480850944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 13480850944 in words is "thirteen billion, four hundred eighty million, eight hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 103 128 136 176 187 206 256 272 352 374 412 512 544 704 748 824 1088 1133 1367 1408 1496 1648 1751 2176 2266 2734 2816 2992 3296 3502 4352 4532 5468 5632 5984 6592 7004 8704 9064 10936 11968 13184 14008 15037 18128 19261 21872 23239 23936 26368 28016 30074 36256 38522 43744 46478 47872 52736 56032 60148 72512 77044 87488 92956 95744 112064 120296 140801 145024 154088 174976 185912 224128 240592 255629 281602 290048 308176 349952 371824 448256 481184 511258 563204 580096 616352 699904 743648 896512 962368 1022516 1126408 1232704 1487296 1548811 1924736 2045032 2252816 2393617 2465408 2974592 3097622 3849472 4090064 4505632 4787234 4930816 5949184 6195244 7698944 8180128 9011264 9574468 9861632 11898368 12390488 16360256 18022528 19148936 24780976 26329787 32720512 36045056 38297872 49561952 52659574 65441024 72090112 76595744 99123904 105319148 130882048 153191488 198247808 210638296 306382976 396495616 421276592 612765952 792991232 842553184 1225531904 1685106368 3370212736 6740425472 13480850944