Search a number
-
+
386708686848 = 21132113675197
BaseRepresentation
bin1011010000010011010…
…00100100100000000000
31100222011101121201000100
411220021220210200000
522313434410434343
6453352421122400
736640000413621
oct5501150444000
91328141551010
10386708686848
1113a002a77080
1262b43b59400
132a60aac07c3
1414a06c85a48
15a0d4b019d3
hex5a09a24800

386708686848 has 288 divisors, whose sum is σ = 1221975780480. Its totient is φ = 116842659840.

The previous prime is 386708686843. The next prime is 386708686849. The reversal of 386708686848 is 848686807683.

386708686848 is a `hidden beast` number, since 386 + 70 + 86 + 8 + 68 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (386708686843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74407386 + ... + 74412582.

It is an arithmetic number, because the mean of its divisors is an integer number (4242971460).

Almost surely, 2386708686848 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 386708686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610987890240).

386708686848 is an abundant number, since it is smaller than the sum of its proper divisors (835267093632).

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

386708686848 is a wasteful number, since it uses less digits than its factorization.

386708686848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 386708686848 in words is "three hundred eighty-six billion, seven hundred eight million, six hundred eighty-six thousand, eight hundred forty-eight".