Search a number
-
+
130770401626722 = 2311313243103131167
BaseRepresentation
bin11101101110111101011011…
…010101100000101001100010
3122011000112021010120212200010
4131232331123111200221202
5114120020240304023342
61142043032042305350
736354564313403154
oct3556753325405142
9564015233525603
10130770401626722
11387384635a5000
121280021aab8256
1357c779942a600
14244146d584ad4
15101b98914729c
hex76ef5b560a62

130770401626722 has 768 divisors, whose sum is σ = 326244081106944. Its totient is φ = 34901240774400.

The previous prime is 130770401626721. The next prime is 130770401626771. The reversal of 130770401626722 is 227626104077031.

It is a super-2 number, since 2×1307704016267222 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130770401626721) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 783056297083 + ... + 783056297249.

It is an arithmetic number, because the mean of its divisors is an integer number (424796980608).

Almost surely, 2130770401626722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130770401626722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163122040553472).

130770401626722 is an abundant number, since it is smaller than the sum of its proper divisors (195473679480222).

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

130770401626722 is a wasteful number, since it uses less digits than its factorization.

130770401626722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 130770401626722 in words is "one hundred thirty trillion, seven hundred seventy billion, four hundred one million, six hundred twenty-six thousand, seven hundred twenty-two".