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2642357013 = 33132218821
BaseRepresentation
bin1001110101111111…
…0010101100010101
320211011001122101120
42131133302230111
520402420411023
61114110514153
7122323443522
oct23537625425
96734048346
102642357013
1111365a5a2a
12618b05959
1333158357a
141b0d0a149
15106e9a8e3
hex9d7f2b15

2642357013 has 16 divisors (see below), whose sum is σ = 3638333952. Its totient is φ = 1704024000.

The previous prime is 2642356973. The next prime is 2642357021. The reversal of 2642357013 is 3107532462.

It is not a de Polignac number, because 2642357013 - 212 = 2642352917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642377013) 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 15 ways as a sum of consecutive naturals, for example, 295143 + ... + 303963.

It is an arithmetic number, because the mean of its divisors is an integer number (227395872).

Almost surely, 22642357013 is an apocalyptic number.

It is an amenable number.

2642357013 is a deficient number, since it is larger than the sum of its proper divisors (995976939).

2642357013 is a wasteful number, since it uses less digits than its factorization.

2642357013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12076.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2642357013 is about 51403.8618490868. The cubic root of 2642357013 is about 1382.4958357106.

Adding to 2642357013 its reverse (3107532462), we get a palindrome (5749889475).

It can be divided in two parts, 26423 and 57013, that added together give a triangular number (83436 = T408).

The spelling of 2642357013 in words is "two billion, six hundred forty-two million, three hundred fifty-seven thousand, thirteen".

Divisors: 1 3 31 93 3221 8821 9663 26463 99851 273451 299553 820353 28412441 85237323 880785671 2642357013