Search a number
-
+
18868868496 = 2432114472
BaseRepresentation
bin10001100100101011…
…000001010110010000
31210201000002211112100
4101210223001112100
5302120412242441
612400201200400
71235405510262
oct214453012620
953630084470
1018868868496
118002a911a5
1237a7190100
131a19246c5a
14cadda1b32
157567d5cb6
hex464ac1590

18868868496 has 45 divisors (see below), whose sum is σ = 52811238571. Its totient is φ = 6289073376.

The previous prime is 18868868477. The next prime is 18868868507. The reversal of 18868868496 is 69486886881.

The square root of 18868868496 is 137364.

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

18868868496 is a `hidden beast` number, since 18 + 8 + 68 + 8 + 68 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1642645 + ... + 1654091.

Almost surely, 218868868496 is an apocalyptic number.

18868868496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18868868496 is the 137364-th square number.

It is an amenable number.

18868868496 is an abundant number, since it is smaller than the sum of its proper divisors (33942370075).

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

18868868496 is an frugal number, since it uses more digits than its factorization.

18868868496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22908 (or 11452 counting only the distinct ones).

The product of its digits is 254803968, while the sum is 72.

It can be divided in two parts, 18868 and 868496, that added together give a square (887364 = 9422).

The spelling of 18868868496 in words is "eighteen billion, eight hundred sixty-eight million, eight hundred sixty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 11447 22894 34341 45788 68682 91576 103023 137364 183152 206046 274728 412092 549456 824184 1648368 131033809 262067618 393101427 524135236 786202854 1048270472 1179304281 1572405708 2096540944 2358608562 3144811416 4717217124 6289622832 9434434248 18868868496