Search a number
-
+
386380204236 = 2232131723192153
BaseRepresentation
bin1011001111101100000…
…11100000100011001100
31100221022111112001120200
411213312003200203030
522312301313013421
6453300044413500
736625601355435
oct5476603404314
91327274461520
10386380204236
11139954609244
1262a71b47290
132a587a2c5b0
14149b53ba48c
15a0b5d68726
hex59f60e08cc

386380204236 has 216 divisors, whose sum is σ = 1153378821504. Its totient is φ = 108282286080.

The previous prime is 386380204187. The next prime is 386380204283. The reversal of 386380204236 is 632402083683.

386380204236 is a `hidden beast` number, since 3 + 8 + 638 + 0 + 2 + 0 + 4 + 2 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 386380204191 and 386380204200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4146736 + ... + 4238888.

Almost surely, 2386380204236 is an apocalyptic number.

386380204236 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386380204236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576689410752).

386380204236 is an abundant number, since it is smaller than the sum of its proper divisors (766998617268).

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

386380204236 is a wasteful number, since it uses less digits than its factorization.

386380204236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92241 (or 92219 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 386380204236 in words is "three hundred eighty-six billion, three hundred eighty million, two hundred four thousand, two hundred thirty-six".