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130405192704 = 2103321412203
BaseRepresentation
bin111100101110011000…
…0010101010000000000
3110110121011101011112000
41321130300111100000
54114032212131304
6135523551504000
712264363564123
oct1713460252000
9413534334460
10130405192704
1150339371436
1221334528000
13c3b2b13827
1464512223ba
1535d3700939
hex1e5cc15400

130405192704 has 176 divisors, whose sum is σ = 386552859840. Its totient is φ = 43428372480.

The previous prime is 130405192703. The next prime is 130405192717. The reversal of 130405192704 is 407291504031.

130405192704 is a `hidden beast` number, since 1 + 30 + 40 + 519 + 2 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130405192703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59193267 + ... + 59195469.

Almost surely, 2130405192704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130405192704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193276429920).

130405192704 is an abundant number, since it is smaller than the sum of its proper divisors (256147667136).

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

130405192704 is a wasteful number, since it uses less digits than its factorization.

130405192704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 130405192704 its reverse (407291504031), we get a palindrome (537696696735).

The spelling of 130405192704 in words is "one hundred thirty billion, four hundred five million, one hundred ninety-two thousand, seven hundred four".