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172539934016 = 268938897789
BaseRepresentation
bin1010000010110000101…
…1100111010101000000
3121111100121022210120112
42200230023213111000
510311330210342031
6211132545330452
715315462145412
oct2405413472500
9544317283515
10172539934016
11671a032719a
1229533336a28
1313369229018
1484cb1209b2
15474c81362b
hex282c2e7540

172539934016 has 56 divisors (see below), whose sum is σ = 346364433000. Its totient is φ = 85267759104.

The previous prime is 172539934001. The next prime is 172539934019. The reversal of 172539934016 is 610439935271.

It can be written as a sum of positive squares in 4 ways, for example, as 24850369600 + 147689564416 = 157640^2 + 384304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172539934019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22147850 + ... + 22155638.

Almost surely, 2172539934016 is an apocalyptic number.

172539934016 is a gapful number since it is divisible by the number (16) 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 172539934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173182216500).

172539934016 is an abundant number, since it is smaller than the sum of its proper divisors (173824498984).

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

172539934016 is an equidigital number, since it uses as much as digits as its factorization.

172539934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11779 (or 11769 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 50.

The spelling of 172539934016 in words is "one hundred seventy-two billion, five hundred thirty-nine million, nine hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 3889 5696 7778 7789 15556 15578 31112 31156 62224 62312 124448 124624 248896 249248 346121 498496 692242 693221 1384484 1386442 2768968 2772884 5537936 5545768 11075872 11091536 22151744 22183072 30291421 44366144 60582842 121165684 242331368 484662736 969325472 1938650944 2695936469 5391872938 10783745876 21567491752 43134983504 86269967008 172539934016