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11301424624 = 2472319492251
BaseRepresentation
bin10101000011001111…
…00000110111110000
31002011121121212002101
422201213200313300
5141121131041444
65105232430144
7550026344560
oct124147406760
932147555071
1011301424624
11487a3a5656
1222349a8354
1310b1503a09
14792d34da0
154622803d4
hex2a19e0df0

11301424624 has 80 divisors (see below), whose sum is σ = 26137612800. Its totient is φ = 4628448000.

The previous prime is 11301424597. The next prime is 11301424657. The reversal of 11301424624 is 42642410311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11301424592 and 11301424601.

It is a congruent number.

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, 5019499 + ... + 5021749.

It is an arithmetic number, because the mean of its divisors is an integer number (326720160).

Almost surely, 211301424624 is an apocalyptic number.

11301424624 is a gapful number since it is divisible by the number (14) 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 11301424624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13068806400).

11301424624 is an abundant number, since it is smaller than the sum of its proper divisors (14836188176).

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

11301424624 is a wasteful number, since it uses less digits than its factorization.

11301424624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11301424624 its reverse (42642410311), we get a palindrome (53943834935).

The spelling of 11301424624 in words is "eleven billion, three hundred one million, four hundred twenty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 1949 2251 2576 3898 4502 7796 9004 13643 15592 15757 18008 27286 31184 31514 36016 44827 51773 54572 63028 89654 103546 109144 126056 179308 207092 218288 252112 313789 358616 362411 414184 627578 717232 724822 828368 1255156 1449644 2510312 2899288 4387199 5020624 5798576 8774398 17548796 30710393 35097592 61420786 70195184 100905577 122841572 201811154 245683144 403622308 491366288 706339039 807244616 1412678078 1614489232 2825356156 5650712312 11301424624