Search a number
-
+
54797191744 = 2629210092
BaseRepresentation
bin110011000010001010…
…101100101001000000
312020102220120202120011
4303002022230221000
51344211040113434
641101245554304
73646632305341
oct630212545100
9166386522504
1054797191744
112126a64a229
12a753575994
1352238a0019
14291b8bc0c8
15165aad9e64
hexcc22aca40

54797191744 has 63 divisors (see below), whose sum is σ = 112728789147. Its totient is φ = 26427598848.

The previous prime is 54797191733. The next prime is 54797191747. The reversal of 54797191744 is 44719179745.

The square root of 54797191744 is 234088.

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 1639278144 + 53157913600 = 40488^2 + 230560^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54797191747) by changing a digit.

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, 54307912 + ... + 54308920.

Almost surely, 254797191744 is an apocalyptic number.

54797191744 is the 234088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54797191744

54797191744 is an abundant number, since it is smaller than the sum of its proper divisors (57931597403).

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

54797191744 is an frugal number, since it uses more digits than its factorization.

54797191744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 1040 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 58.

The spelling of 54797191744 in words is "fifty-four billion, seven hundred ninety-seven million, one hundred ninety-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1009 1682 1856 2018 3364 4036 6728 8072 13456 16144 26912 29261 32288 53824 58522 64576 117044 234088 468176 848569 936352 1018081 1697138 1872704 2036162 3394276 4072324 6788552 8144648 13577104 16289296 27154208 29524349 32578592 54308416 59048698 65157184 118097396 236194792 472389584 856206121 944779168 1712412242 1889558336 3424824484 6849648968 13699297936 27398595872 54797191744