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2504146414052 = 221016198382213
BaseRepresentation
bin100100011100001010110…
…000011110100111100100
322212101122021021012222102
4210130022300132213210
5312011442440222202
65154220004151232
7345630040214213
oct44341260364744
98771567235872
102504146414052
11886003405558
123453a1698518
131521a874848a
14892b665b07a
1545212b57d02
hex2470ac1e9e4

2504146414052 has 12 divisors (see below), whose sum is σ = 4425644900796. Its totient is φ = 1239676442400.

The previous prime is 2504146413997. The next prime is 2504146414057.

2504146414052 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2390190208576 + 113956205476 = 1546024^2 + 337574^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2504146413997 and 2504146414015.

It is not an unprimeable number, because it can be changed into a prime (2504146414057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3099190703 + ... + 3099191510.

It is an arithmetic number, because the mean of its divisors is an integer number (368803741733).

Almost surely, 22504146414052 is an apocalyptic number.

It is an amenable number.

2504146414052 is a deficient number, since it is larger than the sum of its proper divisors (1921498486744).

2504146414052 is a wasteful number, since it uses less digits than its factorization.

2504146414052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198382318 (or 6198382316 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The spelling of 2504146414052 in words is "two trillion, five hundred four billion, one hundred forty-six million, four hundred fourteen thousand, fifty-two".

Divisors: 1 2 4 101 202 404 6198382213 12396764426 24793528852 626036603513 1252073207026 2504146414052