Search a number
-
+
642145322153310 = 23566269332299789
BaseRepresentation
bin1001001000000001110001101…
…1110100100011010101011110
310010012122111022120221022120020
42102000130123310203111132
51133131402104432401220
610153421253303533010
7252154316463623223
oct22200343364432536
93105574276838506
10642145322153310
11176675335730548
126003009515a166
1321740075a12681
14b47dddc5c594a
154e38a17e78040
hex248071bd2355e

642145322153310 has 32 divisors (see below), whose sum is σ = 1541151146466720. Its totient is φ = 171238488874368.

The previous prime is 642145322153249. The next prime is 642145322153317. The reversal of 642145322153310 is 13351223541246.

It is a super-2 number, since 2×6421453221533102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642145322153317) 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, 3730896 + ... + 36030684.

It is an arithmetic number, because the mean of its divisors is an integer number (48160973327085).

Almost surely, 2642145322153310 is an apocalyptic number.

642145322153310 is an abundant number, since it is smaller than the sum of its proper divisors (899005824313410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642145322153310 is a wasteful number, since it uses less digits than its factorization.

642145322153310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32962492.

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 642145322153310 its reverse (13351223541246), we get a palindrome (655496545694556).

The spelling of 642145322153310 in words is "six hundred forty-two trillion, one hundred forty-five billion, three hundred twenty-two million, one hundred fifty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 662693 1325386 1988079 3313465 3976158 6626930 9940395 19880790 32299789 64599578 96899367 161498945 193798734 322997890 484496835 968993670 21404844071777 42809688143554 64214532215331 107024220358885 128429064430662 214048440717770 321072661076655 642145322153310