Search a number
-
+
24653004740 = 225713102113267
BaseRepresentation
bin10110111101011011…
…101111111111000100
32100122002222101210122
4112331123233333010
5400442132122430
615154143241112
71531632040250
oct267533577704
970562871718
1024653004740
11a500a84391
1249402a9198
13242b692b90
14129c25d260
159944cdee5
hex5bd6effc4

24653004740 has 96 divisors (see below), whose sum is σ = 63785750784. Its totient is φ = 7794040320.

The previous prime is 24653004617. The next prime is 24653004743. The reversal of 24653004740 is 4740035642.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 24653004740.

It is not an unprimeable number, because it can be changed into a prime (24653004743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1851587 + ... + 1864853.

It is an arithmetic number, because the mean of its divisors is an integer number (664434904).

Almost surely, 224653004740 is an apocalyptic number.

24653004740 is a gapful number since it is divisible by the number (20) 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 24653004740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31892875392).

24653004740 is an abundant number, since it is smaller than the sum of its proper divisors (39132746044).

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

24653004740 is a wasteful number, since it uses less digits than its factorization.

24653004740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14317 (or 14315 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 24653004740 in words is "twenty-four billion, six hundred fifty-three million, four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1021 1820 2042 4084 5105 7147 10210 13267 13273 14294 20420 26534 26546 28588 35735 53068 53092 66335 66365 71470 92869 92911 132670 132730 142940 172471 185738 185822 265340 265460 344942 371476 371644 464345 464555 689884 862355 928690 929110 1207297 1724710 1857380 1858220 2414594 3449420 4829188 6036485 12072970 13545607 24145940 27091214 54182428 67728035 94819249 135456070 176092891 189638498 270912140 352185782 379276996 474096245 704371564 880464455 948192490 1232650237 1760928910 1896384980 2465300474 3521857820 4930600948 6163251185 12326502370 24653004740