Search a number
-
+
5005103104 = 21259139149
BaseRepresentation
bin1001010100101001…
…11101000000000000
3110220210222120201001
410222110331000000
540222301244404
62144352421344
7235013450221
oct45224750000
913823876631
105005103104
112139283051
12b78247854
13619c27591
14356a2d248
151e46137a4
hex12a53d000

5005103104 has 104 divisors (see below), whose sum is σ = 10320660000. Its totient is φ = 2426044416.

The previous prime is 5005103099. The next prime is 5005103113. The reversal of 5005103104 is 4013015005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33591222 + ... + 33591370.

Almost surely, 25005103104 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 5005103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160330000).

5005103104 is an abundant number, since it is smaller than the sum of its proper divisors (5315556896).

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

5005103104 is a wasteful number, since it uses less digits than its factorization.

5005103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 5005103104 is about 70746.7533106644. The cubic root of 5005103104 is about 1710.5574945478.

Adding to 5005103104 its reverse (4013015005), we get a palindrome (9018118109).

The spelling of 5005103104 in words is "five billion, five million, one hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 59 64 118 128 139 149 236 256 278 298 472 512 556 596 944 1024 1112 1192 1888 2048 2224 2384 3776 4096 4448 4768 7552 8201 8791 8896 9536 15104 16402 17582 17792 19072 20711 30208 32804 35164 35584 38144 41422 60416 65608 70328 71168 76288 82844 120832 131216 140656 142336 152576 165688 241664 262432 281312 284672 305152 331376 524864 562624 569344 610304 662752 1049728 1125248 1221949 1325504 2099456 2250496 2443898 2651008 4198912 4500992 4887796 5302016 8397824 9001984 9775592 10604032 16795648 18003968 19551184 21208064 33591296 36007936 39102368 42416128 78204736 84832256 156409472 312818944 625637888 1251275776 2502551552 5005103104