Search a number
-
+
4160767100429 = 291153124436017
BaseRepresentation
bin111100100011000001000…
…010111000011000001101
3112201202200000100120220002
4330203001002320120031
51021132222334203204
612503232514534045
7606414454546532
oct74430102703015
915652600316802
104160767100429
111364631614725
12572474597325
13242487c69524
1410554ca96d89
157336ee7191e
hex3c8c10b860d

4160767100429 has 8 divisors (see below), whose sum is σ = 4307974943160. Its totient is φ = 4013808132096.

The previous prime is 4160767100393. The next prime is 4160767100431. The reversal of 4160767100429 is 9240017670614.

It can be written as a sum of positive squares in 4 ways, for example, as 1723115655625 + 2437651444804 = 1312675^2 + 1561298^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4160767100429 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 (4160767100629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62184572 + ... + 62251445.

It is an arithmetic number, because the mean of its divisors is an integer number (538496867895).

Almost surely, 24160767100429 is an apocalyptic number.

It is an amenable number.

4160767100429 is a deficient number, since it is larger than the sum of its proper divisors (147207842731).

4160767100429 is a wasteful number, since it uses less digits than its factorization.

4160767100429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124437199.

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 4160767100429 in words is "four trillion, one hundred sixty billion, seven hundred sixty-seven million, one hundred thousand, four hundred twenty-nine".

Divisors: 1 29 1153 33437 124436017 3608644493 143474727601 4160767100429