Search a number
-
+
3946152157398 = 23211176741941761
BaseRepresentation
bin111001011011001000111…
…111110110000011010110
3111222020201010110212120100
4321123020333312003112
51004123204423014043
612220500503514530
7555046220620263
oct71331077660326
914866633425510
103946152157398
111291610020510
1253895a458a46
13228174b10189
14d8dcd98626a
156c9ad8e8cd3
hex396c8ff60d6

3946152157398 has 192 divisors, whose sum is σ = 10047496193280. Its totient is φ = 1105991884800.

The previous prime is 3946152157397. The next prime is 3946152157429. The reversal of 3946152157398 is 8937512516493.

3946152157398 is a `hidden beast` number, since 3 + 9 + 4 + 6 + 1 + 52 + 1 + 573 + 9 + 8 = 666.

It is a super-2 number, since 2×39461521573982 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946152157397) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94472838 + ... + 94514598.

It is an arithmetic number, because the mean of its divisors is an integer number (52330709340).

Almost surely, 23946152157398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3946152157398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023748096640).

3946152157398 is an abundant number, since it is smaller than the sum of its proper divisors (6101344035882).

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

3946152157398 is a wasteful number, since it uses less digits than its factorization.

3946152157398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42283 (or 42280 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 3946152157398 in words is "three trillion, nine hundred forty-six billion, one hundred fifty-two million, one hundred fifty-seven thousand, three hundred ninety-eight".