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13432315232 = 257435632477
BaseRepresentation
bin11001000001010000…
…01101110101100000
31021200010021022110202
430200220031311200
5210002133041412
610100513044332
7653602536620
oct144050156540
937603238422
1013432315232
115773212276
12272a5566a8
131360b1902b
14915d42880
1553939a3c2
hex320a0dd60

13432315232 has 96 divisors (see below), whose sum is σ = 30993000192. Its totient is φ = 5610576384.

The previous prime is 13432315223. The next prime is 13432315243. The reversal of 13432315232 is 23251323431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13432315195 and 13432315204.

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, 5421578 + ... + 5424054.

It is an arithmetic number, because the mean of its divisors is an integer number (322843752).

Almost surely, 213432315232 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 13432315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15496500096).

13432315232 is an abundant number, since it is smaller than the sum of its proper divisors (17560684960).

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

13432315232 is a wasteful number, since it uses less digits than its factorization.

13432315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3092 counting only the distinct ones).

The product of its digits is 12960, while the sum is 29.

Adding to 13432315232 its reverse (23251323431), we get a palindrome (36683638663).

The spelling of 13432315232 in words is "thirteen billion, four hundred thirty-two million, three hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 563 602 688 1126 1204 1376 2252 2408 2477 3941 4504 4816 4954 7882 9008 9632 9908 15764 17339 18016 19816 24209 31528 34678 39632 48418 63056 69356 79264 96836 106511 126112 138712 169463 193672 213022 277424 338926 387344 426044 554848 677852 745577 774688 852088 1355704 1394551 1491154 1704176 2711408 2789102 2982308 3408352 5422816 5578204 5964616 9761857 11156408 11929232 19523714 22312816 23858464 39047428 44625632 59965693 78094856 119931386 156189712 239862772 312379424 419759851 479725544 839519702 959451088 1679039404 1918902176 3358078808 6716157616 13432315232