Search a number
-
+
66219054400 = 265241386909
BaseRepresentation
bin111101101010111101…
…101001010101000000
320022220220211111120101
4331222331221111000
52041104034220100
650230504052144
74532653450432
oct755275512500
9208826744511
1066219054400
11260a0a25744
1210a00764054
136324022135
1432c2804652
151ac870a86a
hexf6af69540

66219054400 has 42 divisors (see below), whose sum is σ = 162940264670. Its totient is φ = 26487621120.

The previous prime is 66219054371. The next prime is 66219054431. The reversal of 66219054400 is 445091266.

It can be written as a sum of positive squares in 3 ways, for example, as 14096337984 + 52122716416 = 118728^2 + 228304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66219054400.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 20691855 + ... + 20695054.

Almost surely, 266219054400 is an apocalyptic number.

It is an amenable number.

66219054400 is an abundant number, since it is smaller than the sum of its proper divisors (96721210270).

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

66219054400 is a wasteful number, since it uses less digits than its factorization.

66219054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41386931 (or 41386916 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 66219054400 in words is "sixty-six billion, two hundred nineteen million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 41386909 82773818 165547636 206934545 331095272 413869090 662190544 827738180 1034672725 1324381088 1655476360 2069345450 2648762176 3310952720 4138690900 6621905440 8277381800 13243810880 16554763600 33109527200 66219054400