Search a number
-
+
173127097880 = 235111922791229
BaseRepresentation
bin1010000100111100101…
…1011101111000011000
3121112212112011210222022
42201033023131320120
510314031014113010
6211311122314012
715336152023412
oct2411713357030
9545775153868
10173127097880
1167471808090
1229677ab8908
1313430a7c169
1485450c59b2
154784147d55
hex284f2dde18

173127097880 has 128 divisors (see below), whose sum is σ = 449289504000. Its totient is φ = 59378480640.

The previous prime is 173127097853. The next prime is 173127097919. The reversal of 173127097880 is 88790721371.

173127097880 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-2 number, since 2×1731270978802 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) 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 31 ways as a sum of consecutive naturals, for example, 1852106 + ... + 1943334.

It is an arithmetic number, because the mean of its divisors is an integer number (3510074250).

Almost surely, 2173127097880 is an apocalyptic number.

173127097880 is a gapful number since it is divisible by the number (10) 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 173127097880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224644752000).

173127097880 is an abundant number, since it is smaller than the sum of its proper divisors (276162406120).

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

173127097880 is a wasteful number, since it uses less digits than its factorization.

173127097880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91497 (or 91493 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 53.

The spelling of 173127097880 in words is "one hundred seventy-three billion, one hundred twenty-seven million, ninety-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 227 380 418 440 454 760 836 908 1045 1135 1672 1816 2090 2270 2497 4180 4313 4540 4994 8360 8626 9080 9988 12485 17252 19976 21565 24970 34504 43130 47443 49940 86260 91229 94886 99880 172520 182458 189772 237215 364916 379544 456145 474430 729832 912290 948860 1003519 1733351 1824580 1897720 2007038 3466702 3649160 4014076 5017595 6933404 8028152 8666755 10035190 13866808 17333510 19066861 20070380 20708983 34667020 38133722 40140760 41417966 69334040 76267444 82835932 95334305 103544915 152534888 165671864 190668610 207089830 227798813 381337220 393470677 414179660 455597626 762674440 786941354 828359320 911195252 1138994065 1573882708 1822390504 1967353385 2277988130 3147765416 3934706770 4328177447 4555976260 7869413540 8656354894 9111952520 15738827080 17312709788 21640887235 34625419576 43281774470 86563548940 173127097880