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2125235536 = 24291012449
BaseRepresentation
bin111111010101100…
…1000010101010000
312111010000011002021
41332223020111100
513323030014121
6550515101224
7103444126654
oct17653102520
95433004067
102125235536
119a0704a06
124b38a1814
1327b3b5328
14162378a64
15c689e641
hex7eac8550

2125235536 has 60 divisors (see below), whose sum is σ = 4311805500. Its totient is φ = 1013555200.

The previous prime is 2125235513. The next prime is 2125235591. The reversal of 2125235536 is 6355325212.

It can be written as a sum of positive squares in 6 ways, for example, as 787139136 + 1338096400 = 28056^2 + 36580^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4733040 + ... + 4733488.

It is an arithmetic number, because the mean of its divisors is an integer number (71863425).

Almost surely, 22125235536 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 2125235536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155902750).

2125235536 is an abundant number, since it is smaller than the sum of its proper divisors (2186569964).

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

2125235536 is a wasteful number, since it uses less digits than its factorization.

2125235536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 581 counting only the distinct ones).

The product of its digits is 54000, while the sum is 34.

The square root of 2125235536 is about 46100.2769622917. The cubic root of 2125235536 is about 1285.6882939178.

The spelling of 2125235536 in words is "two billion, one hundred twenty-five million, two hundred thirty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 101 116 202 232 404 449 464 808 898 1616 1796 2929 3592 5858 7184 10201 11716 13021 20402 23432 26042 40804 45349 46864 52084 81608 90698 104168 163216 181396 208336 295829 362792 591658 725584 1183316 1315121 2366632 2630242 4580249 4733264 5260484 9160498 10520968 18320996 21041936 36641992 73283984 132827221 265654442 531308884 1062617768 2125235536