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130997357568 = 210367114353
BaseRepresentation
bin111101000000000001…
…1010000110000000000
3110112010102122021000000
41322000003100300000
54121240310420233
6140102424000000
712315144111240
oct1720003206000
9415112567000
10130997357568
1150612658690
122147a900000
13c4786c803c
1464a9b29b20
15361a6c1d13
hex1e800d0c00

130997357568 has 1232 divisors, whose sum is σ = 510335375616. Its totient is φ = 32606945280.

The previous prime is 130997357531. The next prime is 130997357581. The reversal of 130997357568 is 865753799031.

130997357568 is a `hidden beast` number, since 1 + 30 + 9 + 9 + 7 + 35 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2471648230 + ... + 2471648282.

Almost surely, 2130997357568 is an apocalyptic number.

130997357568 is a gapful number since it is divisible by the number (18) 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 130997357568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255167687808).

130997357568 is an abundant number, since it is smaller than the sum of its proper divisors (379338018048).

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

130997357568 is an equidigital number, since it uses as much as digits as its factorization.

130997357568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 130997357568 in words is "one hundred thirty billion, nine hundred ninety-seven million, three hundred fifty-seven thousand, five hundred sixty-eight".