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130669392480 = 253511294767271
BaseRepresentation
bin111100110110010000…
…0001011001001100000
3110111021120111220110220
41321230200023021200
54120102331024410
6140010110323040
712304052336634
oct1715440131140
9414246456426
10130669392480
1150464513660
12213a8ab9480
13c425788563
146478356dc4
1535eb9dc070
hex1e6c80b260

130669392480 has 768 divisors, whose sum is σ = 483251650560. Its totient is φ = 29378764800.

The previous prime is 130669392431. The next prime is 130669392481. The reversal of 130669392480 is 84293966031.

It is a super-3 number, since 3×1306693924803 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130669392481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482174745 + ... + 482175015.

It is an arithmetic number, because the mean of its divisors is an integer number (629233920).

Almost surely, 2130669392480 is an apocalyptic number.

130669392480 is a gapful number since it is divisible by the number (10) 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 130669392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241625825280).

130669392480 is an abundant number, since it is smaller than the sum of its proper divisors (352582258080).

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

130669392480 is a wasteful number, since it uses less digits than its factorization.

130669392480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 130669392480 in words is "one hundred thirty billion, six hundred sixty-nine million, three hundred ninety-two thousand, four hundred eighty".