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2523621012 = 2231124142391
BaseRepresentation
bin1001011001101011…
…0110011010010100
320111212122020012220
42112122312122110
520132021333022
61054225542340
7116352265443
oct22632663224
96455566186
102523621012
111085577900
125a51a49b0
13312aaca93
1419d23cd5a
15eb84485c
hex966b6694

2523621012 has 72 divisors (see below), whose sum is σ = 6630447936. Its totient is φ = 746064000.

The previous prime is 2523621011. The next prime is 2523621029. The reversal of 2523621012 is 2101263252.

2523621012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523621011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38337 + ... + 80727.

Almost surely, 22523621012 is an apocalyptic number.

2523621012 is a gapful number since it is divisible by the number (22) 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 2523621012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315223968).

2523621012 is an abundant number, since it is smaller than the sum of its proper divisors (4106826924).

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

2523621012 is a wasteful number, since it uses less digits than its factorization.

2523621012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42461 (or 42448 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2523621012 is about 50235.6547882079. The cubic root of 2523621012 is about 1361.4699022356.

Adding to 2523621012 its reverse (2101263252), we get a palindrome (4624884264).

The spelling of 2523621012 in words is "two billion, five hundred twenty-three million, six hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 121 123 132 164 242 246 363 451 484 492 726 902 1353 1452 1804 2706 4961 5412 9922 14883 19844 29766 42391 59532 84782 127173 169564 254346 466301 508692 932602 1398903 1738031 1865204 2797806 3476062 5129311 5214093 5595612 6952124 10258622 10428186 15387933 19118341 20517244 20856372 30775866 38236682 57355023 61551732 76473364 114710046 210301751 229420092 420603502 630905253 841207004 1261810506 2523621012