Search a number
-
+
54458265483792 = 243442020266577
BaseRepresentation
bin11000110000111100011011…
…00100011011101000010000
321010211011022011012120220000
430120132031210123220100
524114221011430440132
6311453440511050000
714320323404652342
oct1430361544335020
9233734264176800
1054458265483792
1116396691161445
126136462b10900
132450514143b71
14d63b19091292
156468b784587c
hex31878d91ba10

54458265483792 has 50 divisors (see below), whose sum is σ = 157618019934078. Its totient is φ = 18152755160832.

The previous prime is 54458265483779. The next prime is 54458265483833. The reversal of 54458265483792 is 29738456285445.

54458265483792 is a `hidden beast` number, since 5 + 4 + 4 + 5 + 8 + 2 + 6 + 548 + 3 + 79 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42510347840016 + 11947917643776 = 6519996^2 + 3456576^2 .

It is a super-2 number, since 2×544582654837922 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 54458265483792.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21010131993 + ... + 21010134584.

Almost surely, 254458265483792 is an apocalyptic number.

It is an amenable number.

54458265483792 is an abundant number, since it is smaller than the sum of its proper divisors (103159754450286).

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

54458265483792 is a wasteful number, since it uses less digits than its factorization.

54458265483792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42020266597 (or 42020266582 counting only the distinct ones).

The product of its digits is 2322432000, while the sum is 72.

The spelling of 54458265483792 in words is "fifty-four trillion, four hundred fifty-eight billion, two hundred sixty-five million, four hundred eighty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 42020266577 84040533154 126060799731 168081066308 252121599462 336162132616 378182399193 504243198924 672324265232 756364798386 1008486397848 1134547197579 1512729596772 2016972795696 2269094395158 3025459193544 3403641592737 4538188790316 6050918387088 6807283185474 9076377580632 13614566370948 18152755161264 27229132741896 54458265483792