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130896387720 = 23335731243419
BaseRepresentation
bin111100111101000001…
…0000101111010001000
3110111212101122110102000
41321322002011322020
54121033433401340
6140044415511000
712312506636430
oct1717202057210
9414771573360
10130896387720
115057066452a
1221450b28460
13c460804c77
14649a5652c0
1536118c9d30
hex1e7a085e88

130896387720 has 768 divisors, whose sum is σ = 528498432000. Its totient is φ = 28213194240.

The previous prime is 130896387703. The next prime is 130896387781. The reversal of 130896387720 is 27783698031.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 312401671 + ... + 312402089.

It is an arithmetic number, because the mean of its divisors is an integer number (688149000).

Almost surely, 2130896387720 is an apocalyptic number.

130896387720 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 130896387720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264249216000).

130896387720 is an abundant number, since it is smaller than the sum of its proper divisors (397602044280).

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

130896387720 is a wasteful number, since it uses less digits than its factorization.

130896387720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 130896387720 in words is "one hundred thirty billion, eight hundred ninety-six million, three hundred eighty-seven thousand, seven hundred twenty".