Search a number
-
+
3862193331136 = 267217292498107
BaseRepresentation
bin111000001100111100101…
…010010101101111000000
3111200012222220010120212111
4320030330222111233000
51001234232443044021
612114133410505104
7546014515436200
oct70147452255700
914605886116774
103862193331136
111259a464a2698
12524628895194
1322028477181a
14d4d07134400
156a6e7ad98e1
hex3833ca95bc0

3862193331136 has 168 divisors, whose sum is σ = 9765254058480. Its totient is φ = 1504139599872.

The previous prime is 3862193331131. The next prime is 3862193331137. The reversal of 3862193331136 is 6311333912683.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 3862193331136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3862193331131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296995 + ... + 2795101.

Almost surely, 23862193331136 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 3862193331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882627029240).

3862193331136 is an abundant number, since it is smaller than the sum of its proper divisors (5903060727344).

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

3862193331136 is a wasteful number, since it uses less digits than its factorization.

3862193331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498179 (or 2498162 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 49.

The spelling of 3862193331136 in words is "three trillion, eight hundred sixty-two billion, one hundred ninety-three million, three hundred thirty-one thousand, one hundred thirty-six".