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171105104172 = 22339673594343
BaseRepresentation
bin1001111101011010101…
…0001011000100101100
3121100122121102220001110
42133112222023010230
510300410401313142
6210334332112020
715235100250132
oct2372652130454
9540577386043
10171105104172
1166624409302
12291b2905610
131319aba4092
1483d2743752
1546b688d99c
hex27d6a8b12c

171105104172 has 24 divisors (see below), whose sum is σ = 399345995776. Its totient is φ = 57020641488.

The previous prime is 171105104147. The next prime is 171105104173. The reversal of 171105104172 is 271401501171.

171105104172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1711051041723 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (171105104173) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1749568 + ... + 1844775.

Almost surely, 2171105104172 is an apocalyptic number.

171105104172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

171105104172 is an abundant number, since it is smaller than the sum of its proper divisors (228240891604).

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

171105104172 is a wasteful number, since it uses less digits than its factorization.

171105104172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598317 (or 3598315 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 30.

The spelling of 171105104172 in words is "one hundred seventy-one billion, one hundred five million, one hundred four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 3967 7934 11901 15868 23802 47604 3594343 7188686 10783029 14377372 21566058 43132116 14258758681 28517517362 42776276043 57035034724 85552552086 171105104172