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130799823840 = 253557271967
BaseRepresentation
bin111100111010001000…
…1101110101111100000
3110111121122221111200000
41321310101232233200
54120334223330330
6140031050100000
712310225105200
oct1716421565740
9414548844600
10130799823840
11505210aa674
122142471a600
13c4467c548a
14648b7ca400
1536081a3560
hex1e7446ebe0

130799823840 has 864 divisors, whose sum is σ = 546607885824. Its totient is φ = 29445534720.

The previous prime is 130799823839. The next prime is 130799823863. The reversal of 130799823840 is 48328997031.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135263037 + ... + 135264003.

It is an arithmetic number, because the mean of its divisors is an integer number (632648016).

Almost surely, 2130799823840 is an apocalyptic number.

130799823840 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 130799823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273303942912).

130799823840 is an abundant number, since it is smaller than the sum of its proper divisors (415808061984).

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

130799823840 is an equidigital number, since it uses as much as digits as its factorization.

130799823840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 130799823840 in words is "one hundred thirty billion, seven hundred ninety-nine million, eight hundred twenty-three thousand, eight hundred forty".