Search a number
-
+
171060803004 = 223721322378441
BaseRepresentation
bin1001111101010000000…
…1001011010110111100
3121100112112002011021110
42133110001023112330
510300313031144004
6210330110402020
715234021556200
oct2372401132674
9540475064243
10171060803004
1166601400173
122919bb00310
1313191962880
1483ca8d0b00
1546b2a3c589
hex27d404b5bc

171060803004 has 72 divisors (see below), whose sum is σ = 500023908048. Its totient is φ = 45114935040.

The previous prime is 171060802993. The next prime is 171060803033. The reversal of 171060803004 is 400308060171.

It is a happy number.

171060803004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11181577 + ... + 11196864.

Almost surely, 2171060803004 is an apocalyptic number.

171060803004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

171060803004 is an abundant number, since it is smaller than the sum of its proper divisors (328963105044).

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

171060803004 is a wasteful number, since it uses less digits than its factorization.

171060803004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22378475 (or 22378466 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 171060803004 its reverse (400308060171), we get a palindrome (571368863175).

The spelling of 171060803004 in words is "one hundred seventy-one billion, sixty million, eight hundred three thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 22378441 44756882 67135323 89513764 134270646 156649087 268541292 290919733 313298174 469947261 581839466 626596348 872759199 939894522 1096543609 1163678932 1745518398 1879789044 2036438131 2193087218 3289630827 3491036796 4072876262 4386174436 6109314393 6579261654 8145752524 12218628786 13158523308 14255066917 24437257572 28510133834 42765200751 57020267668 85530401502 171060803004