Search a number
-
+
5798166906168 = 233271319193241327
BaseRepresentation
bin101010001011111110110…
…1011011100010100111000
3202112022002012222001101200
41110113331223130110320
51224444121211444133
620155350251214200
71135621660344240
oct124277553342470
922468065861350
105798166906168
111935a9707377a
12797882447360
133309c3334620
141608c049cb20
15a0c54b1e913
hex545fdadc538

5798166906168 has 384 divisors, whose sum is σ = 20449941657600. Its totient is φ = 1441191149568.

The previous prime is 5798166906157. The next prime is 5798166906179. The reversal of 5798166906168 is 8616096618975.

It is an interprime number because it is at equal distance from previous prime (5798166906157) and next prime (5798166906179).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5798166906096 and 5798166906105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23905521 + ... + 24146847.

It is an arithmetic number, because the mean of its divisors is an integer number (53255056400).

Almost surely, 25798166906168 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 5798166906168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10224970828800).

5798166906168 is an abundant number, since it is smaller than the sum of its proper divisors (14651774751432).

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

5798166906168 is a wasteful number, since it uses less digits than its factorization.

5798166906168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241571 (or 241564 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 5798166906168 in words is "five trillion, seven hundred ninety-eight billion, one hundred sixty-six million, nine hundred six thousand, one hundred sixty-eight".