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13454248448 = 291094912
BaseRepresentation
bin11001000011110111…
…11000101000000000
31021201122112122012002
430201323320220000
5210023241422243
610103015123132
7654260140064
oct144173705000
937648478162
1013454248448
115784632aa3
1227359734a8
131365528374
14918c11aa4
1553b27deb8
hex321ef8a00

13454248448 has 60 divisors (see below), whose sum is σ = 27184209690. Its totient is φ = 6651832320.

The previous prime is 13454248427. The next prime is 13454248471. The reversal of 13454248448 is 84484245431.

It can be written as a sum of positive squares in only one way, i.e., 10430128384 + 3024120064 = 102128^2 + 54992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27401483 + ... + 27401973.

Almost surely, 213454248448 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 13454248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592104845).

13454248448 is an abundant number, since it is smaller than the sum of its proper divisors (13729961242).

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

13454248448 is an frugal number, since it uses more digits than its factorization.

13454248448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 602 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 47.

The spelling of 13454248448 in words is "thirteen billion, four hundred fifty-four million, two hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 491 512 872 982 1744 1964 3488 3928 6976 7856 13952 15712 27904 31424 53519 55808 62848 107038 125696 214076 241081 251392 428152 482162 856304 964324 1712608 1928648 3425216 3857296 6850432 7714592 13700864 15429184 26277829 27401728 30858368 52555658 61716736 105111316 123433472 210222632 420445264 840890528 1681781056 3363562112 6727124224 13454248448