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171050345144 = 237231303101921
BaseRepresentation
bin1001111101001101100…
…1010010001010111000
3121100111210101211210022
42133103121102022320
510300302342021034
6210325054310012
715233533641620
oct2372331221270
9540453354708
10171050345144
11665a6508008
12291984b8308
131318c7407a3
1483c936b880
1546b1b73b2e
hex27d36522b8

171050345144 has 64 divisors (see below), whose sum is σ = 382770109440. Its totient is φ = 70065515520.

The previous prime is 171050345113. The next prime is 171050345171. The reversal of 171050345144 is 441543050171.

171050345144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1627304 + ... + 1729224.

It is an arithmetic number, because the mean of its divisors is an integer number (5980782960).

Almost surely, 2171050345144 is an apocalyptic number.

171050345144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171050345144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191385054720).

171050345144 is an abundant number, since it is smaller than the sum of its proper divisors (211719764296).

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

171050345144 is a wasteful number, since it uses less digits than its factorization.

171050345144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103260 (or 103256 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 171050345144 in words is "one hundred seventy-one billion, fifty million, three hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 1303 2606 5212 9121 10424 18242 29969 36484 59938 72968 101921 119876 203842 209783 239752 407684 419566 713447 815368 839132 1426894 1678264 2344183 2853788 4688366 5707576 9376732 16409281 18753464 32818562 65637124 131274248 132803063 265606126 531212252 929621441 1062424504 1859242882 3054470449 3718485764 6108940898 7436971528 12217881796 21381293143 24435763592 42762586286 85525172572 171050345144