Search a number
-
+
463123806450 = 235217379479201
BaseRepresentation
bin1101011110101000101…
…01000111100011110010
31122021101220010222121020
412233110111013203302
530041434143301300
6552431154240310
745313432255104
oct6572425074362
91567356128536
10463123806450
11169456351488
127590b286096
133489830a3c6
14185b5889574
15c0a84e88a0
hex6bd45478f2

463123806450 has 96 divisors (see below), whose sum is σ = 1219319904960. Its totient is φ = 115928064000.

The previous prime is 463123806413. The next prime is 463123806463. The reversal of 463123806450 is 54608321364.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726850 + ... + 1206050.

It is an arithmetic number, because the mean of its divisors is an integer number (12701249010).

Almost surely, 2463123806450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463123806450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609659952480).

463123806450 is an abundant number, since it is smaller than the sum of its proper divisors (756196098510).

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

463123806450 is a wasteful number, since it uses less digits than its factorization.

463123806450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479612 (or 479607 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 463123806450 in words is "four hundred sixty-three billion, one hundred twenty-three million, eight hundred six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 379 425 510 758 850 1137 1275 1895 2274 2550 3790 5685 6443 9475 11370 12886 18950 19329 28425 32215 38658 56850 64430 96645 161075 193290 322150 479201 483225 958402 966450 1437603 2396005 2875206 4792010 7188015 8146417 11980025 14376030 16292834 23960050 24439251 35940075 40732085 48878502 71880150 81464170 122196255 181617179 203660425 244392510 363234358 407320850 544851537 610981275 908085895 1089703074 1221962550 1816171790 2724257685 3087492043 4540429475 5448515370 6174984086 9080858950 9262476129 13621288425 15437460215 18524952258 27242576850 30874920430 46312380645 77187301075 92624761290 154374602150 231561903225 463123806450