Search a number
-
+
18121301670 = 2353747419829
BaseRepresentation
bin10000111000000111…
…010001111010100110
31201202220102111122010
4100320013101322212
5244103023123140
612154054215050
71211030344203
oct207007217246
951686374563
1018121301670
11775a00317a
123618954486
13192a3c1b14
14c3c9a4caa
15710d69880
hex4381d1ea6

18121301670 has 128 divisors (see below), whose sum is σ = 45780940800. Its totient is φ = 4585185792.

The previous prime is 18121301669. The next prime is 18121301677. The reversal of 18121301670 is 7610312181.

18121301670 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18121301677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21858816 + ... + 21859644.

It is an arithmetic number, because the mean of its divisors is an integer number (357663600).

Almost surely, 218121301670 is an apocalyptic number.

18121301670 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 18121301670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22890470400).

18121301670 is an abundant number, since it is smaller than the sum of its proper divisors (27659639130).

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

18121301670 is a wasteful number, since it uses less digits than its factorization.

18121301670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342.

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 18121301670 in words is "eighteen billion, one hundred twenty-one million, three hundred one thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 37 47 74 94 111 141 185 222 235 282 370 419 470 555 705 829 838 1110 1257 1410 1658 1739 2095 2487 2514 3478 4145 4190 4974 5217 6285 8290 8695 10434 12435 12570 15503 17390 19693 24870 26085 30673 31006 38963 39386 46509 52170 59079 61346 77515 77926 92019 93018 98465 116889 118158 153365 155030 184038 194815 196930 232545 233778 295395 306730 347351 389630 460095 465090 584445 590790 694702 728641 920190 1042053 1168890 1441631 1457282 1736755 2084106 2185923 2883262 3473510 3643205 4324893 4371846 5210265 7208155 7286410 8649786 10420530 10929615 12851987 14416310 16325497 21624465 21859230 25703974 32650994 38555961 43248930 48976491 64259935 77111922 81627485 97952982 128519870 163254970 192779805 244882455 385559610 489764910 604043389 1208086778 1812130167 3020216945 3624260334 6040433890 9060650835 18121301670