Search a number
-
+
18669388032 = 283417211251
BaseRepresentation
bin10001011000110010…
…000100000100000000
31210012002202011210000
4101120302010010000
5301213330404112
612324313440000
71230434115501
oct213062040400
953162664700
1018669388032
117a10423609
123750410000
1319b6b12289
14c916b6ba8
157440307dc
hex458c84100

18669388032 has 360 divisors, whose sum is σ = 59458668192. Its totient is φ = 5806080000.

The previous prime is 18669388009. The next prime is 18669388033. The reversal of 18669388032 is 23088396681.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18669388032.

It is not an unprimeable number, because it can be changed into a prime (18669388033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74379907 + ... + 74380157.

Almost surely, 218669388032 is an apocalyptic number.

18669388032 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 18669388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29729334096).

18669388032 is an abundant number, since it is smaller than the sum of its proper divisors (40789280160).

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

18669388032 is a wasteful number, since it uses less digits than its factorization.

18669388032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 18669388032 in words is "eighteen billion, six hundred sixty-nine million, three hundred eighty-eight thousand, thirty-two".