Search a number
-
+
10087173034128 = 243323349937579
BaseRepresentation
bin1001001011001001101001…
…0111011001000010010000
31022201022202102200012211000
42102302122113121002100
52310232012244043003
633241552221422000
72060526360041661
oct222623227310220
938638672605730
1010087173034128
113239a45229883
12116ab65a0a900
135822a739b618
1426c3167c7368
151275cd00a1a3
hex92c9a5d9090

10087173034128 has 40 divisors (see below), whose sum is σ = 28953922599200. Its totient is φ = 3362391011232.

The previous prime is 10087173034123. The next prime is 10087173034223. The reversal of 10087173034128 is 82143037178001.

It is not an unprimeable number, because it can be changed into a prime (10087173034123) 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, 11674968358 + ... + 11674969221.

It is an arithmetic number, because the mean of its divisors is an integer number (723848064980).

Almost surely, 210087173034128 is an apocalyptic number.

10087173034128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10087173034128 is an abundant number, since it is smaller than the sum of its proper divisors (18866749565072).

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

10087173034128 is a wasteful number, since it uses less digits than its factorization.

10087173034128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23349937596 (or 23349937584 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10087173034128 in words is "ten trillion, eighty-seven billion, one hundred seventy-three million, thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 23349937579 46699875158 70049812737 93399750316 140099625474 186799500632 210149438211 280199250948 373599001264 420298876422 560398501896 630448314633 840597752844 1120797003792 1260896629266 1681195505688 2521793258532 3362391011376 5043586517064 10087173034128