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54381058676 = 2272289795773
BaseRepresentation
bin110010101001010111…
…010001101001110100
312012100220120000022022
4302221113101221310
51342333022334201
640552102452312
73633420241400
oct625127215164
9165326500268
1054381058676
11210767652aa
12a658134098
135188600439
1428bc518100
1516342db41b
hexca95d1a74

54381058676 has 36 divisors (see below), whose sum is σ = 110743667748. Its totient is φ = 23297879808.

The previous prime is 54381058673. The next prime is 54381058717. The reversal of 54381058676 is 67685018345.

54381058676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12263347600 + 42117711076 = 110740^2 + 205226^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54381058673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519926 + ... + 615698.

It is an arithmetic number, because the mean of its divisors is an integer number (3076212993).

Almost surely, 254381058676 is an apocalyptic number.

It is an amenable number.

54381058676 is an abundant number, since it is smaller than the sum of its proper divisors (56362609072).

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

54381058676 is a wasteful number, since it uses less digits than its factorization.

54381058676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98688 (or 98679 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 54381058676 in words is "fifty-four billion, three hundred eighty-one million, fifty-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 2897 5794 11588 20279 40558 81116 95773 141953 191546 283906 383092 567812 670411 1340822 2681644 4692877 9385754 18771508 277454381 554908762 1109817524 1942180667 3884361334 7768722668 13595264669 27190529338 54381058676