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5258269632 = 2637111791987
BaseRepresentation
bin1001110010110101…
…01101001111000000
3111120110100202220010
410321122231033000
541232104112012
62225434544520
7244206361110
oct47132551700
914513322803
105258269632
112259179890
121028b98140
1365a508365
1437c4d1040
1520b970c3c
hex1396ad3c0

5258269632 has 224 divisors, whose sum is σ = 17451141120. Its totient is φ = 1357470720.

The previous prime is 5258269613. The next prime is 5258269633. The reversal of 5258269632 is 2369628525.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258269633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2645343 + ... + 2647329.

It is an arithmetic number, because the mean of its divisors is an integer number (77906880).

Almost surely, 25258269632 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 5258269632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725570560).

5258269632 is an abundant number, since it is smaller than the sum of its proper divisors (12192871488).

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

5258269632 is a wasteful number, since it uses less digits than its factorization.

5258269632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2189 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 5258269632 is about 72513.9271588569. The cubic root of 5258269632 is about 1738.9253980430.

The spelling of 5258269632 in words is "five billion, two hundred fifty-eight million, two hundred sixty-nine thousand, six hundred thirty-two".