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57448006155 = 32537113305339
BaseRepresentation
bin110101100000001010…
…110000001000001011
312111021122120002022200
4311200022300020023
51420123142144110
642220302051243
74102420665261
oct654012601013
9174248502280
1057448006155
11223aa9a1341
12b173279b23
135556b24c67
142acd98a431
1517636a66c0
hexd602b020b

57448006155 has 48 divisors (see below), whose sum is σ = 103173164640. Its totient is φ = 29546947584.

The previous prime is 57448006139. The next prime is 57448006181. The reversal of 57448006155 is 55160084475.

57448006155 is a `hidden beast` number, since 57 + 448 + 0 + 0 + 6 + 155 = 666.

It is not a de Polignac number, because 57448006155 - 24 = 57448006139 is a prime.

It is a super-3 number, since 3×574480061553 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 57448006155.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 35476 + ... + 340814.

It is an arithmetic number, because the mean of its divisors is an integer number (2149440930).

Almost surely, 257448006155 is an apocalyptic number.

57448006155 is a deficient number, since it is larger than the sum of its proper divisors (45725158485).

57448006155 is a wasteful number, since it uses less digits than its factorization.

57448006155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305500 (or 305497 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 57448006155 in words is "fifty-seven billion, four hundred forty-eight million, six thousand, one hundred fifty-five".

Divisors: 1 3 5 9 15 37 45 111 113 185 333 339 555 565 1017 1665 1695 4181 5085 12543 20905 37629 62715 188145 305339 916017 1526695 2748051 4580085 11297543 13740255 33892629 34503307 56487715 101677887 103509921 169463145 172516535 310529763 508389435 517549605 1276622359 1552648815 3829867077 6383111795 11489601231 19149335385 57448006155