Search a number
-
+
14949789624 = 23311711137
BaseRepresentation
bin11011110110001001…
…11010111110111000
31102120212200000000000
431323010322332320
5221104121231444
610511241513000
71036320054330
oct157304727670
942525600000
1014949789624
116381848240
122a927a2760
131543318c83
14a1b6b40c0
155c76e7469
hex37b13afb8

14949789624 has 384 divisors, whose sum is σ = 52803878400. Its totient is φ = 3854718720.

The previous prime is 14949789583. The next prime is 14949789641. The reversal of 14949789624 is 42698794941.

14949789624 is a `hidden beast` number, since 1 + 4 + 9 + 497 + 89 + 62 + 4 = 666.

It is a super-2 number, since 2×149497896242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109122484 + ... + 109122620.

It is an arithmetic number, because the mean of its divisors is an integer number (137510100).

Almost surely, 214949789624 is an apocalyptic number.

14949789624 is a gapful number since it is divisible by the number (14) 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 14949789624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26401939200).

14949789624 is an abundant number, since it is smaller than the sum of its proper divisors (37854088776).

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

14949789624 is an equidigital number, since it uses as much as digits as its factorization.

14949789624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

It can be divided in two parts, 149497 and 89624, that added together give a square (239121 = 4892).

The spelling of 14949789624 in words is "fourteen billion, nine hundred forty-nine million, seven hundred eighty-nine thousand, six hundred twenty-four".