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130725028742400 = 2833522692812307
BaseRepresentation
bin11101101110010011001010…
…111001101100010100000000
3122010212012011000111112111000
4131232103022321230110000
5114113244324324224100
61142010125452052000
736351400035266451
oct3556231271542400
9563765130445430
10130725028742400
113872019a8044a4
12127b3477764000
1357c34181b0071
14243d1a75ad128
15101a6d0aee900
hex76e4cae6c500

130725028742400 has 432 divisors, whose sum is σ = 481137527102400. Its totient is φ = 34730404208640.

The previous prime is 130725028742353. The next prime is 130725028742401. The reversal of 130725028742400 is 4247820527031.

130725028742400 is a `hidden beast` number, since 1 + 3 + 0 + 72 + 502 + 8 + 74 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1307250287424002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130725028742401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45077047 + ... + 47889353.

It is an arithmetic number, because the mean of its divisors is an integer number (1113744275700).

Almost surely, 2130725028742400 is an apocalyptic number.

130725028742400 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 130725028742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240568763551200).

130725028742400 is an abundant number, since it is smaller than the sum of its proper divisors (350412498360000).

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

130725028742400 is a wasteful number, since it uses less digits than its factorization.

130725028742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812611 (or 2812586 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 130725028742400 in words is "one hundred thirty trillion, seven hundred twenty-five billion, twenty-eight million, seven hundred forty-two thousand, four hundred".