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12432416416 = 25741031571
BaseRepresentation
bin10111001010000011…
…11001111010100000
31012002102210012011021
423211001321322200
5200430144311131
65413353455224
7620041540000
oct134501717240
935072705137
1012432416416
1152aa858512
1224ab711514
131231915c24
1485d220000
154cb6d8e11
hex2e5079ea0

12432416416 has 120 divisors (see below), whose sum is σ = 28849582944. Its totient is φ = 5273089920.

The previous prime is 12432416407. The next prime is 12432416419. The reversal of 12432416416 is 61461423421.

It is not an unprimeable number, because it can be changed into a prime (12432416419) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7912911 + ... + 7914481.

Almost surely, 212432416416 is an apocalyptic number.

12432416416 is a gapful number since it is divisible by the number (16) 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 12432416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424791472).

12432416416 is an abundant number, since it is smaller than the sum of its proper divisors (16417166528).

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

12432416416 is an equidigital number, since it uses as much as digits as its factorization.

12432416416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1683 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

Adding to 12432416416 its reverse (61461423421), we get a palindrome (73893839837).

The spelling of 12432416416 in words is "twelve billion, four hundred thirty-two million, four hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 103 112 196 206 224 343 392 412 686 721 784 824 1372 1442 1568 1571 1648 2401 2744 2884 3142 3296 4802 5047 5488 5768 6284 9604 10094 10976 10997 11536 12568 19208 20188 21994 23072 25136 35329 38416 40376 43988 50272 70658 76832 76979 80752 87976 141316 153958 161504 161813 175952 247303 282632 307916 323626 351904 494606 538853 565264 615832 647252 989212 1077706 1130528 1132691 1231664 1294504 1978424 2155412 2265382 2463328 2589008 3771971 3956848 4310824 4530764 5178016 7543942 7913696 7928837 8621648 9061528 15087884 15857674 17243296 18123056 30175768 31715348 36246112 55501859 60351536 63430696 111003718 120703072 126861392 222007436 253722784 388513013 444014872 777026026 888029744 1554052052 1776059488 3108104104 6216208208 12432416416