Search a number
-
+
238380984504 = 233313201742089
BaseRepresentation
bin1101111000000010011…
…1010010100010111000
3211210022011212201021000
43132000213102202320
512401201013001004
6301302151445000
723136205636005
oct3360047224270
9753264781230
10238380984504
119210793aa03
123a249386760
131962cb3b6b0
14b7756488ac
156302c52c39
hex37809d28b8

238380984504 has 128 divisors (see below), whose sum is σ = 713476008000. Its totient is φ = 73309888512.

The previous prime is 238380984497. The next prime is 238380984551. The reversal of 238380984504 is 405489083832.

238380984504 is a `hidden beast` number, since 23 + 8 + 3 + 80 + 98 + 450 + 4 = 666.

238380984504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5642692 + ... + 5684780.

Almost surely, 2238380984504 is an apocalyptic number.

238380984504 is a gapful number since it is divisible by the number (24) 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 238380984504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356738004000).

238380984504 is an abundant number, since it is smaller than the sum of its proper divisors (475095023496).

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

238380984504 is a wasteful number, since it uses less digits than its factorization.

238380984504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44134 (or 44124 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 238380984504 in words is "two hundred thirty-eight billion, three hundred eighty million, nine hundred eighty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2017 2808 4034 6051 8068 12102 16136 18153 24204 26221 36306 42089 48408 52442 54459 72612 78663 84178 104884 108918 126267 145224 157326 168356 209768 217836 235989 252534 314652 336712 378801 435672 471978 505068 547157 629304 707967 757602 943956 1010136 1094314 1136403 1415934 1515204 1641471 1887912 2188628 2272806 2831868 3030408 3282942 4377256 4545612 4924413 5663736 6565884 9091224 9848826 13131768 14773239 19697652 29546478 39395304 59092956 84893513 118185912 169787026 254680539 339574052 509361078 679148104 764041617 1018722156 1103615669 1528083234 2037444312 2207231338 2292124851 3056166468 3310847007 4414462676 4584249702 6112332936 6621694014 8828925352 9168499404 9932541021 13243388028 18336998808 19865082042 26486776056 29797623063 39730164084 59595246126 79460328168 119190492252 238380984504