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2506435141 = 71933755921
BaseRepresentation
bin1001010101100101…
…0010101001000101
320110200022002122011
42111121102221011
520113121411031
61052413334221
7116053230040
oct22531225105
96420262564
102506435141
1110768a9901
1259b497371
1330c373522
1419ac47c57
15ea09c6b1
hex95652a45

2506435141 has 16 divisors (see below), whose sum is σ = 3024261760. Its totient is φ = 2029224960.

The previous prime is 2506435123. The next prime is 2506435159. The reversal of 2506435141 is 1415346052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2506435123) and next prime (2506435159).

It is not a de Polignac number, because 2506435141 - 29 = 2506434629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506435121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16861 + ... + 72781.

It is an arithmetic number, because the mean of its divisors is an integer number (189016360).

Almost surely, 22506435141 is an apocalyptic number.

It is an amenable number.

2506435141 is a deficient number, since it is larger than the sum of its proper divisors (517826619).

2506435141 is a wasteful number, since it uses less digits than its factorization.

2506435141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56284.

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 2506435141 is about 50064.3100521719. The cubic root of 2506435141 is about 1358.3723212248.

The spelling of 2506435141 in words is "two billion, five hundred six million, four hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 7 19 133 337 2359 6403 44821 55921 391447 1062499 7437493 18845377 131917639 358062163 2506435141