Search a number
-
+
16405262144 = 26534836457
BaseRepresentation
bin11110100011101010…
…00110111101000000
31120100022101122221122
433101311012331000
5232044221342034
611311513411412
71120352266415
oct172165067500
946308348848
1016405262144
116a59385297
12321a109b68
131715a1aa0b
14b18b0610c
1566039862e
hex3d1d46f40

16405262144 has 28 divisors (see below), whose sum is σ = 33168428964. Its totient is φ = 8047862784.

The previous prime is 16405262113. The next prime is 16405262171. The reversal of 16405262144 is 44126250461.

16405262144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6738439744 + 9666822400 = 82088^2 + 98320^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2414837 + ... + 2421620.

Almost surely, 216405262144 is an apocalyptic number.

It is an amenable number.

16405262144 is an abundant number, since it is smaller than the sum of its proper divisors (16763166820).

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

16405262144 is an equidigital number, since it uses as much as digits as its factorization.

16405262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836522 (or 4836512 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 16405262144 in words is "sixteen billion, four hundred five million, two hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 4836457 9672914 19345828 38691656 77383312 154766624 256332221 309533248 512664442 1025328884 2050657768 4101315536 8202631072 16405262144