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130479263460 = 2232571337415989
BaseRepresentation
bin111100110000100101…
…0111000111011100100
3110110210022202100111100
41321201022320323210
54114210142412320
6135535155240100
712266253303630
oct1714112707344
9413708670440
10130479263460
1150377162937
12213552a9030
13c3c5279190
14645adc3dc0
1535d9e82790
hex1e612b8ee4

130479263460 has 1152 divisors, whose sum is σ = 527032396800. Its totient is φ = 25400770560.

The previous prime is 130479263389. The next prime is 130479263491. The reversal of 130479263460 is 64362974031.

130479263460 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 7 + 9 + 2 + 634 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1466059096 + ... + 1466059184.

It is an arithmetic number, because the mean of its divisors is an integer number (457493400).

Almost surely, 2130479263460 is an apocalyptic number.

130479263460 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 130479263460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263516198400).

130479263460 is an abundant number, since it is smaller than the sum of its proper divisors (396553133340).

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

130479263460 is a wasteful number, since it uses less digits than its factorization.

130479263460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 130479263460 in words is "one hundred thirty billion, four hundred seventy-nine million, two hundred sixty-three thousand, four hundred sixty".