Search a number
-
+
172016317506 = 231197179150107
BaseRepresentation
bin1010000000110011111…
…0001011010001000010
3121110000010001022202110
42200030332023101002
510304242134130011
6211005002400150
715266503400565
oct2401476132102
9543003038673
10172016317506
1166a517aa380
1229407b00056
13132b48c5677
14847b77c4dc
15471b882ba6
hex280cf8b442

172016317506 has 64 divisors (see below), whose sum is σ = 381298337280. Its totient is φ = 51300226560.

The previous prime is 172016317469. The next prime is 172016317507. The reversal of 172016317506 is 605713610271.

It is a super-2 number, since 2×1720163175062 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172016317507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070905 + ... + 1221011.

It is an arithmetic number, because the mean of its divisors is an integer number (5957786520).

Almost surely, 2172016317506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172016317506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190649168640).

172016317506 is an abundant number, since it is smaller than the sum of its proper divisors (209282019774).

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

172016317506 is a wasteful number, since it uses less digits than its factorization.

172016317506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150399.

The product of its (nonzero) digits is 52920, while the sum is 39.

Adding to 172016317506 its reverse (605713610271), we get a palindrome (777729927777).

The spelling of 172016317506 in words is "one hundred seventy-two billion, sixteen million, three hundred seventeen thousand, five hundred six".

Divisors: 1 2 3 6 11 22 33 66 97 179 194 291 358 537 582 1067 1074 1969 2134 3201 3938 5907 6402 11814 17363 34726 52089 104178 150107 190993 300214 381986 450321 572979 900642 1145958 1651177 3302354 4953531 9907062 14560379 26869153 29120758 43681137 53738306 80607459 87362274 160164169 161214918 295560683 320328338 480492507 591121366 886682049 960985014 1773364098 2606307841 5212615682 7818923523 15637847046 28669386251 57338772502 86008158753 172016317506