Search a number
-
+
385696740860208 = 24351423538712941
BaseRepresentation
bin101011110110010100000010…
…1001110101110000100110000
31212120122020201000202200100000
41113230220011032232010300
5401023223411130011313
63444150345304030000
7144145445536144041
oct12754500516560460
91776566630680300
10385696740860208
11101993084138858
1237312742162300
131372a07b4c112b
146b35b712968c8
152e8cccd890673
hex15eca053ae130

385696740860208 has 240 divisors, whose sum is σ = 1120474686030336. Its totient is φ = 128441456974080.

The previous prime is 385696740860141. The next prime is 385696740860267. The reversal of 385696740860208 is 802068047696583.

385696740860208 is a `hidden beast` number, since 3 + 8 + 5 + 6 + 9 + 6 + 7 + 4 + 0 + 8 + 602 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29804239018 + ... + 29804251958.

Almost surely, 2385696740860208 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 385696740860208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560237343015168).

385696740860208 is an abundant number, since it is smaller than the sum of its proper divisors (734777945170128).

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

385696740860208 is a wasteful number, since it uses less digits than its factorization.

385696740860208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19774 (or 19756 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 385696740860208 in words is "three hundred eighty-five trillion, six hundred ninety-six billion, seven hundred forty million, eight hundred sixty thousand, two hundred eight".