Search a number
-
+
3388172474052 = 22322911328720141
BaseRepresentation
bin110001010011011110110…
…100010001011011000100
3102222220110120021002000100
4301103132310101123010
5421002434123132202
611112301022444100
7466534033563132
oct61233664213304
912886416232010
103388172474052
111096a09039843
12468798133630
131b7670973b82
14b9dba336752
155d202ada41c
hex314ded116c4

3388172474052 has 72 divisors (see below), whose sum is σ = 8938282593240. Its totient is φ = 1080796308480.

The previous prime is 3388172474051. The next prime is 3388172474059. The reversal of 3388172474052 is 2504742718833.

It is a happy number.

3388172474052 is a `hidden beast` number, since 3 + 388 + 17 + 247 + 4 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55152643716 + 3333019830336 = 234846^2 + 1825656^2 .

It is a super-2 number, since 2×33881724740522 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3388172474052.

It is not an unprimeable number, because it can be changed into a prime (3388172474051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14242099 + ... + 14478042.

It is an arithmetic number, because the mean of its divisors is an integer number (124142813795).

Almost surely, 23388172474052 is an apocalyptic number.

It is an amenable number.

3388172474052 is an abundant number, since it is smaller than the sum of its proper divisors (5550110119188).

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

3388172474052 is a wasteful number, since it uses less digits than its factorization.

3388172474052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28720293 (or 28720288 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 3388172474052 in words is "three trillion, three hundred eighty-eight billion, one hundred seventy-two million, four hundred seventy-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 113 116 174 226 261 339 348 452 522 678 1017 1044 1356 2034 3277 4068 6554 9831 13108 19662 29493 39324 58986 117972 28720141 57440282 86160423 114880564 172320846 258481269 344641692 516962538 832884089 1033925076 1665768178 2498652267 3245375933 3331536356 4997304534 6490751866 7495956801 9736127799 9994609068 12981503732 14991913602 19472255598 29208383397 29983827204 38944511196 58416766794 94115902057 116833533588 188231804114 282347706171 376463608228 564695412342 847043118513 1129390824684 1694086237026 3388172474052