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5130411048 = 2334779103139
BaseRepresentation
bin1001100011100101…
…11101110000101000
3111020112202212220000
410301302331300220
541001341123143
62205030303000
7241064526420
oct46162756050
914215685800
105130411048
1121a2a8a834
12bb21b7a60
13639b8c4a9
1436952b480
15200616bd3
hex131cbdc28

5130411048 has 320 divisors, whose sum is σ = 16912896000. Its totient is φ = 1422914688.

The previous prime is 5130411047. The next prime is 5130411053. The reversal of 5130411048 is 8401140315.

It is a happy number.

5130411048 is a `hidden beast` number, since 513 + 0 + 41 + 104 + 8 = 666.

It is a super-2 number, since 2×51304110482 = 52642235042880916608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5130411043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36909363 + ... + 36909501.

It is an arithmetic number, because the mean of its divisors is an integer number (52852800).

Almost surely, 25130411048 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 5130411048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8456448000).

5130411048 is an abundant number, since it is smaller than the sum of its proper divisors (11782484952).

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

5130411048 is a wasteful number, since it uses less digits than its factorization.

5130411048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5130411048 is about 71626.8877447569. The cubic root of 5130411048 is about 1724.7151862475.

It can be divided in two parts, 513041 and 1048, that added together give a square (514089 = 7172).

The spelling of 5130411048 in words is "five billion, one hundred thirty million, four hundred eleven thousand, forty-eight".