Search a number
-
+
432018528348 = 2231123646921997
BaseRepresentation
bin1100100100101100100…
…11111001100001011100
31112022010010002010201010
412102112103321201130
524034233220401343
6530244440215220
743132551621111
oct6222623714134
91468103063633
10432018528348
11157244218680
126b88a16a510
133197bc670c4
1416ca472a908
15b387844d33
hex64964f985c

432018528348 has 96 divisors (see below), whose sum is σ = 1147725411840. Its totient is φ = 125197712640.

The previous prime is 432018528269. The next prime is 432018528367. The reversal of 432018528348 is 843825810234.

It is a junction number, because it is equal to n+sod(n) for n = 432018528297 and 432018528306.

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, 19628886 + ... + 19650882.

It is an arithmetic number, because the mean of its divisors is an integer number (11955473040).

Almost surely, 2432018528348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432018528348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573862705920).

432018528348 is an abundant number, since it is smaller than the sum of its proper divisors (715706883492).

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

432018528348 is a wasteful number, since it uses less digits than its factorization.

432018528348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28507 (or 28505 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 432018528348 in words is "four hundred thirty-two billion, eighteen million, five hundred twenty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 6469 12938 19407 21997 25876 38814 43994 65991 71159 77628 87988 131982 142318 148787 213477 241967 263964 284636 297574 426954 446361 483934 505931 595148 725901 853908 892722 967868 1011862 1451802 1517793 1636657 1785444 2023724 2903604 3035586 3273314 4909971 5565241 6071172 6546628 9819942 11130482 16695723 19639884 22260964 33391446 66782892 142298593 284597186 426895779 569194372 853791558 1565284523 1707583116 3130569046 3272867639 4695853569 6261138092 6545735278 9391707138 9818602917 13091470556 18783414276 19637205834 36001544029 39274411668 72003088058 108004632087 144006176116 216009264174 432018528348