Search a number
-
+
2642531815157 = 133891195343717
BaseRepresentation
bin100110011101000011001…
…010111000111011110101
3100100121211120210222102112
4212131003022320323311
5321243401121041112
65341543511420405
7361626254551133
oct46350312707365
910317746728375
102642531815157
11929767356643
12368182684705
131622609627c0
1491c83674753
1548b11c44a22
hex267432b8ef5

2642531815157 has 16 divisors (see below), whose sum is σ = 2853423147120. Its totient is φ = 2432730350592.

The previous prime is 2642531815139. The next prime is 2642531815171. The reversal of 2642531815157 is 7515181352462.

It can be written as a sum of positive squares in 8 ways, for example, as 182932422436 + 2459599392721 = 427706^2 + 1568311^2 .

It is a cyclic number.

It is not a de Polignac number, because 2642531815157 - 214 = 2642531798773 is a prime.

It is a super-3 number, since 3×26425318151573 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642531815057) 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 15 ways as a sum of consecutive naturals, for example, 60424463 + ... + 60468179.

It is an arithmetic number, because the mean of its divisors is an integer number (178338946695).

Almost surely, 22642531815157 is an apocalyptic number.

It is an amenable number.

2642531815157 is a deficient number, since it is larger than the sum of its proper divisors (210891331963).

2642531815157 is a wasteful number, since it uses less digits than its factorization.

2642531815157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56072.

The product of its digits is 2016000, while the sum is 50.

The spelling of 2642531815157 in words is "two trillion, six hundred forty-two billion, five hundred thirty-one million, eight hundred fifteen thousand, one hundred fifty-seven".

Divisors: 1 13 389 5057 11953 43717 155389 568321 4649717 17005913 60446321 221076869 522549301 6793140913 203271678089 2642531815157