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12540530500 = 225373334217
BaseRepresentation
bin10111010110111100…
…10100111101000100
31012100222012221210121
423223132110331010
5201140333434000
65432215031324
7622523515261
oct135336247504
935328187717
1012540530500
1153558911a3
12251b96b544
13124b13aa64
1486d724268
154d5e42b1a
hex2eb794f44

12540530500 has 48 divisors (see below), whose sum is σ = 27426685104. Its totient is φ = 5009222400.

The previous prime is 12540530491. The next prime is 12540530543. The reversal of 12540530500 is 503504521.

It can be written as a sum of positive squares in 8 ways, for example, as 114244 + 12540416256 = 338^2 + 111984^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349392 + ... + 383608.

It is an arithmetic number, because the mean of its divisors is an integer number (571389273).

Almost surely, 212540530500 is an apocalyptic number.

12540530500 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 12540530500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713342552).

12540530500 is an abundant number, since it is smaller than the sum of its proper divisors (14886154604).

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

12540530500 is a wasteful number, since it uses less digits than its factorization.

12540530500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34969 (or 34957 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 12540530500 in words is "twelve billion, five hundred forty million, five hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 733 1466 2932 3665 7330 14660 18325 34217 36650 68434 73300 91625 136868 171085 183250 342170 366500 684340 855425 1710850 3421700 4277125 8554250 17108500 25081061 50162122 100324244 125405305 250810610 501621220 627026525 1254053050 2508106100 3135132625 6270265250 12540530500