Search a number
-
+
15053364100 = 22521573113083
BaseRepresentation
bin11100000010100000…
…00001101110000100
31102212002120010110201
432001100001232010
5221312130122400
610525421500244
71042015324615
oct160120015604
942762503421
1015053364100
116425260285
122b01411684
13155b911748
14a2b355c0c
155d185606a
hex381401b84

15053364100 has 72 divisors (see below), whose sum is σ = 32990263488. Its totient is φ = 5961820800.

The previous prime is 15053364097. The next prime is 15053364107. The reversal of 15053364100 is 146335051.

It is not an unprimeable number, because it can be changed into a prime (15053364107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4881159 + ... + 4884241.

It is an arithmetic number, because the mean of its divisors is an integer number (458198104).

Almost surely, 215053364100 is an apocalyptic number.

15053364100 is a gapful number since it is divisible by the number (10) 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 15053364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16495131744).

15053364100 is an abundant number, since it is smaller than the sum of its proper divisors (17936899388).

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

15053364100 is a wasteful number, since it uses less digits than its factorization.

15053364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 15053364100 its reverse (146335051), we get a palindrome (15199699151).

The spelling of 15053364100 in words is "fifteen billion, fifty-three million, three hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 311 314 622 628 785 1244 1555 1570 3083 3110 3140 3925 6166 6220 7775 7850 12332 15415 15550 15700 30830 31100 48827 61660 77075 97654 154150 195308 244135 308300 484031 488270 958813 968062 976540 1220675 1917626 1936124 2420155 2441350 3835252 4794065 4840310 4882700 9588130 9680620 12100775 19176260 23970325 24201550 47940650 48403100 95881300 150533641 301067282 602134564 752668205 1505336410 3010672820 3763341025 7526682050 15053364100