Search a number
-
+
171134152379106 = 23720770919616977
BaseRepresentation
bin100110111010010101000110…
…010111001000101011100010
3211102221021011022201200110220
4212322111012113020223202
5134412330221002112411
61403545535543503510
751022014555024240
oct4672250627105342
9742837138650426
10171134152379106
114a58a64a618194
121723ab41457b96
137464b5c364457
143038d19847790
1514bb8d31b4b06
hex9ba5465c8ae2

171134152379106 has 32 divisors (see below), whose sum is σ = 391165680036480. Its totient is φ = 48895234212096.

The previous prime is 171134152379053. The next prime is 171134152379107. The reversal of 171134152379106 is 601973251431171.

It is a super-2 number, since 2×1711341523791062 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (171134152379107) 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, 1084711 + ... + 18532266.

It is an arithmetic number, because the mean of its divisors is an integer number (12223927501140).

Almost surely, 2171134152379106 is an apocalyptic number.

171134152379106 is an abundant number, since it is smaller than the sum of its proper divisors (220031527657374).

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

171134152379106 is a wasteful number, since it uses less digits than its factorization.

171134152379106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19824698.

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 171134152379106 in words is "one hundred seventy-one trillion, one hundred thirty-four billion, one hundred fifty-two million, three hundred seventy-nine thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 207709 415418 623127 1246254 1453963 2907926 4361889 8723778 19616977 39233954 58850931 117701862 137318839 274637678 411956517 823913034 4074622675693 8149245351386 12223868027079 24447736054158 28522358729851 57044717459702 85567076189553 171134152379106