Search a number
-
+
163508627044 = 227217216992
BaseRepresentation
bin1001100001000111011…
…1111010011001100100
3120122001012022212110201
42120101313322121210
510134331202031134
6203040445200244
714545616253400
oct2302167723144
9518035285421
10163508627044
11633863a2634
1227832860084
131255a136bb9
147cb18ba100
1543bea00914
hex2611dfa664

163508627044 has 81 divisors (see below), whose sum is σ = 353796654393. Its totient is φ = 65914240896.

The previous prime is 163508626973. The next prime is 163508627069. The reversal of 163508627044 is 440726805361.

The square root of 163508627044 is 404362.

It is a perfect power (a square), and thus also a powerful number.

163508627044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 127299104100 + 36209522944 = 356790^2 + 190288^2 .

It is a super-2 number, since 2×1635086270442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 163508626985 and 163508627003.

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 26 ways as a sum of consecutive naturals, for example, 96237307 + ... + 96239005.

Almost surely, 2163508627044 is an apocalyptic number.

163508627044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

163508627044 is the 404362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163508627044

163508627044 is an abundant number, since it is smaller than the sum of its proper divisors (190288027349).

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

163508627044 is an equidigital number, since it uses as much as digits as its factorization.

163508627044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 163508627044 in words is "one hundred sixty-three billion, five hundred eight million, six hundred twenty-seven thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1666 1699 2023 3332 3398 4046 6796 8092 11893 14161 23786 28322 28883 47572 56644 57766 83251 115532 166502 202181 333004 404362 491011 808724 982022 1415267 1964044 2830534 2886601 3437077 5661068 5773202 6874154 11546404 13748308 20206207 24059539 40412414 48119078 49072217 80824828 96238156 98144434 141443449 196288868 282886898 343505519 565773796 687011038 834227689 1374022076 1668455378 2404538633 3336910756 4809077266 5839593823 9618154532 11679187646 23358375292 40877156761 81754313522 163508627044