Search a number
-
+
11478122496 = 21436312
BaseRepresentation
bin10101011000010011…
…00100000000000000
31002121221010001000000
422230021210000000
5142001344404441
65134544000000
7554303300661
oct125411440000
932557101000
1011478122496
114960112355
122284000000
13110bcbc879
147ac5ad368
15472a352b6
hex2ac264000

11478122496 has 315 divisors, whose sum is σ = 35563630683. Its totient is φ = 3702620160.

The previous prime is 11478122489. The next prime is 11478122507. The reversal of 11478122496 is 69422187411.

The square root of 11478122496 is 107136.

It is a perfect power (a square), and thus also a powerful number.

11478122496 is a `hidden beast` number, since 1 + 147 + 8 + 12 + 2 + 496 = 666.

Its product of digits (193536) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 370262001 + ... + 370262031.

Almost surely, 211478122496 is an apocalyptic number.

11478122496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11478122496 is the 107136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11478122496

11478122496 is an abundant number, since it is smaller than the sum of its proper divisors (24085508187).

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

11478122496 is an frugal number, since it uses more digits than its factorization.

11478122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 36 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 11478122496 in words is "eleven billion, four hundred seventy-eight million, one hundred twenty-two thousand, four hundred ninety-six".