Search a number
-
+
170123472330 = 23572340498699
BaseRepresentation
bin1001111001110000100…
…1100010110111001010
3121021010012022211022120
42132130021202313022
510241403102103310
6210053104232110
715201550440540
oct2363411426712
9537105284276
10170123472330
11661702a0819
1228b7a00b636
13130726c8636
14833c217d90
15465a5d9b70
hex279c262dca

170123472330 has 128 divisors (see below), whose sum is σ = 487088640000. Its totient is φ = 37181236224.

The previous prime is 170123472319. The next prime is 170123472359. The reversal of 170123472330 is 33274321071.

170123472330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 170123472291 and 170123472300.

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 63 ways as a sum of consecutive naturals, for example, 19552321 + ... + 19561019.

It is an arithmetic number, because the mean of its divisors is an integer number (3805380000).

Almost surely, 2170123472330 is an apocalyptic number.

170123472330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 170123472330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243544320000).

170123472330 is an abundant number, since it is smaller than the sum of its proper divisors (316965167670).

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

170123472330 is a wasteful number, since it uses less digits than its factorization.

170123472330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12788.

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 170123472330 in words is "one hundred seventy billion, one hundred twenty-three million, four hundred seventy-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4049 4830 8098 8699 12147 17398 20245 24294 26097 28343 40490 43495 52194 56686 60735 60893 85029 86990 93127 121470 121786 130485 141715 170058 182679 186254 200077 260970 279381 283430 304465 365358 400154 425145 465635 558762 600231 608930 651889 850290 913395 931270 1000385 1200462 1303778 1396905 1400539 1826790 1955667 2000770 2793810 2801078 3001155 3259445 3911334 4201617 6002310 6518890 7002695 8403234 9778335 14005390 19556670 21008085 35222251 42016170 70444502 105666753 176111255 211333506 246555757 352222510 493111514 528333765 739667271 810111773 1056667530 1232778785 1479334542 1620223546 2430335319 2465557570 3698336355 4050558865 4860670638 5670782411 7396672710 8101117730 11341564822 12151676595 17012347233 24303353190 28353912055 34024694466 56707824110 85061736165 170123472330