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130230437568 = 2637311259277
BaseRepresentation
bin111100101001001010…
…1101100011011000000
3110110010222112200112120
41321102111230123000
54113202443000233
6135454350124240
712260142312000
oct1712225543300
9413128480476
10130230437568
1150259761300
12212a5ab0680
13c38585801a
146435d32000
1535c31d14b3
hex1e5256c6c0

130230437568 has 672 divisors, whose sum is σ = 450787008000. Its totient is φ = 33132718080.

The previous prime is 130230437549. The next prime is 130230437593. The reversal of 130230437568 is 865734032031.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 470145846 + ... + 470146122.

It is an arithmetic number, because the mean of its divisors is an integer number (670814000).

Almost surely, 2130230437568 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 130230437568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225393504000).

130230437568 is an abundant number, since it is smaller than the sum of its proper divisors (320556570432).

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

130230437568 is a wasteful number, since it uses less digits than its factorization.

130230437568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

Adding to 130230437568 its reverse (865734032031), we get a palindrome (995964469599).

The spelling of 130230437568 in words is "one hundred thirty billion, two hundred thirty million, four hundred thirty-seven thousand, five hundred sixty-eight".