Search a number
-
+
54346722013808 = 247269319798487
BaseRepresentation
bin11000101101101100101010…
…00011110111001001110000
321010102111101111111012201222
430112312111003313021300
524110404041313420213
6311330312303244212
714306264302054400
oct1426662503671160
9233374344435658
1054346722013808
1116353351840504
1261189132a9668
132442b48c44913
14d5c576cd0800
15643a39eb8808
hex316d950f7270

54346722013808 has 30 divisors (see below), whose sum is σ = 122488083928296. Its totient is φ = 23291452291296.

The previous prime is 54346722013807. The next prime is 54346722013811. The reversal of 54346722013808 is 80831022764345.

54346722013808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×543467220138082 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54346722013808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54346722013807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34659898460 + ... + 34659900027.

Almost surely, 254346722013808 is an apocalyptic number.

It is an amenable number.

54346722013808 is an abundant number, since it is smaller than the sum of its proper divisors (68141361914488).

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

54346722013808 is a wasteful number, since it uses less digits than its factorization.

54346722013808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69319798509 (or 69319798496 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 54346722013808 in words is "fifty-four trillion, three hundred forty-six billion, seven hundred twenty-two million, thirteen thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 69319798487 138639596974 277279193948 485238589409 554558387896 970477178818 1109116775792 1940954357636 3396670125863 3881908715272 6793340251726 7763817430544 13586680503452 27173361006904 54346722013808