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130995266784 = 2535772364877
BaseRepresentation
bin111100111111111101…
…1010010010011100000
3110112010021201000222120
41321333323102103200
54121234242014114
6140102311104240
712315120252534
oct1717773222340
9415107630876
10130995266784
115061145a868
122147a072080
13c4781454a5
1464a9743bc4
15361a40c5a9
hex1e7fed24e0

130995266784 has 48 divisors (see below), whose sum is σ = 344458669968. Its totient is φ = 43589394432.

The previous prime is 130995266767. The next prime is 130995266819. The reversal of 130995266784 is 487662599031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1309952667842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1127047 + ... + 1237830.

It is an arithmetic number, because the mean of its divisors is an integer number (7176222291).

It is a 1-persistent number, because it is pandigital, but 2⋅130995266784 = 261990533568 is not.

Almost surely, 2130995266784 is an apocalyptic number.

It is an amenable number.

130995266784 is an abundant number, since it is smaller than the sum of its proper divisors (213463403184).

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

130995266784 is a wasteful number, since it uses less digits than its factorization.

130995266784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365467 (or 2365459 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 130995266784 in words is "one hundred thirty billion, nine hundred ninety-five million, two hundred sixty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 577 1154 1731 2308 3462 4616 6924 9232 13848 18464 27696 55392 2364877 4729754 7094631 9459508 14189262 18919016 28378524 37838032 56757048 75676064 113514096 227028192 1364534029 2729068058 4093602087 5458136116 8187204174 10916272232 16374408348 21832544464 32748816696 43665088928 65497633392 130995266784