Search a number
-
+
18963493264 = 2417321992
BaseRepresentation
bin10001101010010011…
…111111000110010000
31210221121011021022101
4101222103333012100
5302314123241024
612413421250144
71240635014242
oct215223770620
953847137271
1018963493264
118051441191
123812a03954
131a32a27c41
14cbc794092
1575ec77c44
hex46a4ff190

18963493264 has 45 divisors (see below), whose sum is σ = 37142014593. Its totient is φ = 9379567296.

The previous prime is 18963493247. The next prime is 18963493277. The reversal of 18963493264 is 46239436981.

The square root of 18963493264 is 137708.

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

It can be written as a sum of positive squares in only one way, i.e., 17250195600 + 1713297664 = 131340^2 + 41392^2 .

It is a super-2 number, since 2×189634932642 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95293837 + ... + 95294035.

Almost surely, 218963493264 is an apocalyptic number.

18963493264 is the 137708-th square number.

It is an amenable number.

18963493264 is a deficient number, since it is larger than the sum of its proper divisors (18178521329).

18963493264 is an frugal number, since it uses more digits than its factorization.

18963493264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 374 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 55.

The spelling of 18963493264 in words is "eighteen billion, nine hundred sixty-three million, four hundred ninety-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 173 199 346 398 692 796 1384 1592 2768 3184 29929 34427 39601 59858 68854 79202 119716 137708 158404 239432 275416 316808 478864 550832 633616 5955871 6850973 11911742 13701946 23823484 27403892 47646968 54807784 95293936 109615568 1185218329 2370436658 4740873316 9481746632 18963493264