Search a number
-
+
14509221552 = 243479831627
BaseRepresentation
bin11011000001101000…
…10010011010110000
31101110011122211020000
431200310102122300
5214203330042202
610355422550000
71022360230320
oct154064223260
941404584200
1014509221552
1161760939a1
12298b138300
1314a2c723c7
149b8d8d280
1559dbbd91c
hex360d126b0

14509221552 has 200 divisors, whose sum is σ = 48071375616. Its totient is φ = 4138729344.

The previous prime is 14509221547. The next prime is 14509221569. The reversal of 14509221552 is 25512290541.

14509221552 is a `hidden beast` number, since 14 + 5 + 0 + 92 + 2 + 1 + 552 = 666.

It is a super-3 number, since 3×145092215523 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8916963 + ... + 8918589.

Almost surely, 214509221552 is an apocalyptic number.

14509221552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14509221552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24035687808).

14509221552 is an abundant number, since it is smaller than the sum of its proper divisors (33562154064).

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

14509221552 is a wasteful number, since it uses less digits than its factorization.

14509221552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 14509221552 in words is "fourteen billion, five hundred nine million, two hundred twenty-one thousand, five hundred fifty-two".