Search a number
-
+
54472223080900 = 22527380532
BaseRepresentation
bin11000110001010110011011…
…00000011100000111000100
321010212111022212212222122001
430120223031200130013010
524114433103102042100
6311504105510515044
714321326316404312
oct1430531540340704
9233774285788561
1054472223080900
11163a15a3928769
1261390b9365a84
132451929a27571
14d64680a8b0b2
15646e32d9ed6a
hex318acd81c1c4

54472223080900 has 27 divisors (see below), whose sum is σ = 118204884243271. Its totient is φ = 21788859710240.

The previous prime is 54472223080871. The next prime is 54472223080901. The reversal of 54472223080900 is 908032227445.

The square root of 54472223080900 is 7380530.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8774190439876 + 45698032641024 = 2962126^2 + 6760032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54472223080901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73436274 + ... + 74174326.

Almost surely, 254472223080900 is an apocalyptic number.

54472223080900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54472223080900 is the 7380530-th square number.

It is an amenable number.

54472223080900 is an abundant number, since it is smaller than the sum of its proper divisors (63732661162371).

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

54472223080900 is an frugal number, since it uses more digits than its factorization.

54472223080900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476120 (or 738060 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 54472223080900 in words is "fifty-four trillion, four hundred seventy-two billion, two hundred twenty-three million, eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 738053 1476106 2952212 3690265 7380530 14761060 18451325 36902650 73805300 544722230809 1089444461618 2178888923236 2723611154045 5447222308090 10894444616180 13618055770225 27236111540450 54472223080900