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130445046756 = 2236232717177
BaseRepresentation
bin111100101111100100…
…0010111001111100100
3110110200221100222000000
41321133020113033210
54114122412444011
6135531534021300
712265356413523
oct1713710271744
9413627328000
10130445046756
1150359912372
1221345947830
13c3bb158acb
1464566384ba
1535d6e74356
hex1e5f2173e4

130445046756 has 168 divisors, whose sum is σ = 358510435584. Its totient is φ = 41431927680.

The previous prime is 130445046701. The next prime is 130445046761. The reversal of 130445046756 is 657640544031.

130445046756 is a `hidden beast` number, since 1 + 30 + 4 + 4 + 504 + 67 + 56 = 666.

It is a super-2 number, since 2×1304450467562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18171840 + ... + 18179016.

It is an arithmetic number, because the mean of its divisors is an integer number (2133990688).

Almost surely, 2130445046756 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 130445046756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179255217792).

130445046756 is an abundant number, since it is smaller than the sum of its proper divisors (228065388828).

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

130445046756 is a wasteful number, since it uses less digits than its factorization.

130445046756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 130445046756 in words is "one hundred thirty billion, four hundred forty-five million, forty-six thousand, seven hundred fifty-six".