Search a number
-
+
55333152900 = 22325278412
BaseRepresentation
bin110011100010000111…
…001110100010000100
312021211021002102001100
4303202013032202010
51401310241343100
641230353300100
73666131016324
oct634207164204
9167737072040
1055333152900
1121515138833
12a882b64630
1352aa9364bc
14296cb55284
15168cba8400
hexce21ce884

55333152900 has 81 divisors (see below), whose sum is σ = 173460815983. Its totient is φ = 14753625600.

The previous prime is 55333152893. The next prime is 55333152913. The reversal of 55333152900 is 925133355.

It is a happy number.

The square root of 55333152900 is 235230.

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

55333152900 is a `hidden beast` number, since 5 + 53 + 3 + 315 + 290 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4643332164 + 50689820736 = 68142^2 + 225144^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7052980 + ... + 7060820.

Almost surely, 255333152900 is an apocalyptic number.

55333152900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55333152900 is the 235230-th square number.

It is an amenable number.

55333152900 is an abundant number, since it is smaller than the sum of its proper divisors (118127663083).

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

55333152900 is an equidigital number, since it uses as much as digits as its factorization.

55333152900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15702 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

Multiplying 55333152900 by its sum of digits (36), we get a square (1991993504400 = 14113802).

55333152900 divided by its sum of digits (36) gives a square (1537032025 = 392052).

The spelling of 55333152900 in words is "fifty-five billion, three hundred thirty-three million, one hundred fifty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 7841 15682 23523 31364 39205 47046 70569 78410 94092 117615 141138 156820 196025 235230 282276 352845 392050 470460 588075 705690 784100 1176150 1411380 1764225 2352300 3528450 7056900 61481281 122962562 184443843 245925124 307406405 368887686 553331529 614812810 737775372 922219215 1106663058 1229625620 1537032025 1844438430 2213326116 2766657645 3074064050 3688876860 4611096075 5533315290 6148128100 9222192150 11066630580 13833288225 18444384300 27666576450 55333152900