Search a number
-
+
10463006224 = 2411376723981
BaseRepresentation
bin10011011111010010…
…01100111000010000
31000000011222210021001
421233221030320100
5132412012144344
64450122311344
7520166041216
oct115751147020
930004883231
1010463006224
11448a104490
122040058554
13ca98bc158
14713848cb6
15413869ed4
hex26fa4ce10

10463006224 has 80 divisors (see below), whose sum is σ = 23052649536. Its totient is φ = 4558118400.

The previous prime is 10463006173. The next prime is 10463006237. The reversal of 10463006224 is 42260036401.

It is a junction number, because it is equal to n+sod(n) for n = 10463006192 and 10463006201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424314 + ... + 448294.

Almost surely, 210463006224 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 10463006224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11526324768).

10463006224 is an abundant number, since it is smaller than the sum of its proper divisors (12589643312).

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

10463006224 is a wasteful number, since it uses less digits than its factorization.

10463006224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24104 (or 24098 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 10463006224 in words is "ten billion, four hundred sixty-three million, six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 37 44 67 74 88 134 148 176 268 296 407 536 592 737 814 1072 1474 1628 2479 2948 3256 4958 5896 6512 9916 11792 19832 23981 27269 39664 47962 54538 95924 109076 191848 218152 263791 383696 436304 527582 887297 1055164 1606727 1774594 2110328 3213454 3549188 4220656 6426908 7098376 9760267 12853816 14196752 17673997 19520534 25707632 35347994 39041068 59448899 70695988 78082136 118897798 141391976 156164272 237795596 282783952 475591192 653937889 951182384 1307875778 2615751556 5231503112 10463006224