Search a number
-
+
451323823132 = 2272131926335447
BaseRepresentation
bin1101001000101001111…
…11110000010000011100
31121010221112101201120001
412210110333300100130
524343302344320012
6543200231504044
744415140125300
oct6442477602034
91533845351501
10451323823132
11164450594356
1273577528024
1333737737660
1417bb6655d00
15bb175d7357
hex6914ff041c

451323823132 has 144 divisors (see below), whose sum is σ = 1045506147840. Its totient is φ = 168500642688.

The previous prime is 451323823129. The next prime is 451323823133. The reversal of 451323823132 is 231328323154.

It is a junction number, because it is equal to n+sod(n) for n = 451323823091 and 451323823100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451323823133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12714633 + ... + 12750079.

It is an arithmetic number, because the mean of its divisors is an integer number (7260459360).

Almost surely, 2451323823132 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 451323823132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522753073920).

451323823132 is an abundant number, since it is smaller than the sum of its proper divisors (594182324708).

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

451323823132 is a wasteful number, since it uses less digits than its factorization.

451323823132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35760 (or 35751 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The spelling of 451323823132 in words is "four hundred fifty-one billion, three hundred twenty-three million, eight hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 263 266 364 494 526 532 637 931 988 1052 1274 1729 1841 1862 2548 3419 3458 3682 3724 4997 6838 6916 7364 9994 12103 12887 13676 19988 23933 24206 25774 34979 35447 47866 48412 51548 64961 69958 70894 95732 129922 139916 141788 167531 244853 248129 259844 335062 454727 460811 489706 496258 670124 673493 909454 921622 979412 992516 1346986 1736903 1818908 1843244 2693972 3183089 3225677 3473806 4714451 6366178 6451354 6947612 8755409 9322561 9428902 12732356 12902708 17510818 18645122 18857804 22579739 33001157 35021636 37290244 45159478 61287863 65257927 66002314 90318956 121193293 122575726 130515854 132004628 177128659 242386586 245151452 261031708 354257318 429015041 456805489 484773172 708514636 848353051 858030082 913610978 1239900613 1696706102 1716060164 1827221956 2302672567 2479801226 3393412204 4605345134 4959602452 5938471357 8679304291 9210690268 11876942714 16118707969 17358608582 23753885428 32237415938 34717217164 64474831876 112830955783 225661911566 451323823132