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3135150624 = 25332657819
BaseRepresentation
bin1011101011011110…
…1001101000100000
322002111100011010210
42322313221220200
522410044304444
61235033054120
7140456224554
oct27267515040
98074304123
103135150624
111369790081
12735b57340
133ac6b4518
1421a547864
1513538d7b9
hexbade9a20

3135150624 has 24 divisors (see below), whose sum is σ = 8229770640. Its totient is φ = 1045050176.

The previous prime is 3135150593. The next prime is 3135150643. The reversal of 3135150624 is 4260515313.

3135150624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 3135150591 and 3135150600.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16328814 + ... + 16329005.

It is an arithmetic number, because the mean of its divisors is an integer number (342907110).

Almost surely, 23135150624 is an apocalyptic number.

It is an amenable number.

3135150624 is an abundant number, since it is smaller than the sum of its proper divisors (5094620016).

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

3135150624 is a wasteful number, since it uses less digits than its factorization.

3135150624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32657832 (or 32657824 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3135150624 is about 55992.4157721383. The cubic root of 3135150624 is about 1463.5901238435.

Adding to 3135150624 its reverse (4260515313), we get a palindrome (7395665937).

The spelling of 3135150624 in words is "three billion, one hundred thirty-five million, one hundred fifty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 32657819 65315638 97973457 130631276 195946914 261262552 391893828 522525104 783787656 1045050208 1567575312 3135150624