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13461471232 = 21411113661
BaseRepresentation
bin11001000100101110…
…11100000000000000
31021202011010120222121
430202113130000000
5210032114034412
610103434014024
7654405421546
oct144227340000
937664116877
1013461471232
115788716640
122738277314
131366b86ac1
14919b71d96
1553bc09107
hex3225dc000

13461471232 has 120 divisors (see below), whose sum is σ = 29674319472. Its totient is φ = 6055526400.

The previous prime is 13461471223. The next prime is 13461471241. The reversal of 13461471232 is 23217416431.

It is an interprime number because it is at equal distance from previous prime (13461471223) and next prime (13461471241).

It is a super-2 number, since 2×134614712322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20364982 + ... + 20365642.

Almost surely, 213461471232 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 13461471232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837159736).

13461471232 is an abundant number, since it is smaller than the sum of its proper divisors (16212848240).

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

13461471232 is an equidigital number, since it uses as much as digits as its factorization.

13461471232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 787 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

Adding to 13461471232 its reverse (23217416431), we get a palindrome (36678887663).

The spelling of 13461471232 in words is "thirteen billion, four hundred sixty-one million, four hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 128 176 226 256 352 452 512 661 704 904 1024 1243 1322 1408 1808 2048 2486 2644 2816 3616 4096 4972 5288 5632 7232 7271 8192 9944 10576 11264 14464 14542 16384 19888 21152 22528 28928 29084 39776 42304 45056 57856 58168 74693 79552 84608 90112 115712 116336 149386 159104 169216 180224 231424 232672 298772 318208 338432 462848 465344 597544 636416 676864 821623 925696 930688 1195088 1272832 1353728 1643246 1851392 1861376 2390176 2545664 2707456 3286492 3722752 4780352 5091328 5414912 6572984 7445504 9560704 10182656 10829824 13145968 14891008 19121408 20365312 26291936 29782016 38242816 52583872 59564032 76485632 105167744 119128064 152971264 210335488 305942528 420670976 611885056 841341952 1223770112 1682683904 3365367808 6730735616 13461471232