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14446892672 = 2717322973
BaseRepresentation
bin11010111010001101…
…00001011010000000
31101021211101012001222
431131012201122000
5214041401031142
610345315014212
71021002363422
oct153506413200
941254335058
1014446892672
116143992323
12297229a368
13149308b404
149b09a6812
155984aabd2
hex35d1a1680

14446892672 has 64 divisors (see below), whose sum is σ = 30580691400. Its totient is φ = 6798241792.

The previous prime is 14446892671. The next prime is 14446892699. The reversal of 14446892672 is 27629864441.

It can be written as a sum of positive squares in 4 ways, for example, as 13129493056 + 1317399616 = 114584^2 + 36296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (14446892671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 617378 + ... + 640350.

Almost surely, 214446892672 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 14446892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15290345700).

14446892672 is an abundant number, since it is smaller than the sum of its proper divisors (16133798728).

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

14446892672 is an frugal number, since it uses more digits than its factorization.

14446892672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23038 (or 22992 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 53.

The spelling of 14446892672 in words is "fourteen billion, four hundred forty-six million, eight hundred ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 2176 2312 4624 4913 9248 9826 18496 19652 22973 36992 39304 45946 78608 91892 157216 183784 314432 367568 390541 628864 735136 781082 1470272 1562164 2940544 3124328 6248656 6639197 12497312 13278394 24994624 26556788 49989248 53113576 106227152 112866349 212454304 225732698 424908608 451465396 849817216 902930792 1805861584 3611723168 7223446336 14446892672