Search a number
-
+
397868139648 = 2733728112897
BaseRepresentation
bin1011100101000101100…
…10100000010010000000
31102000222010002122101000
411302202302200102000
523004313220432043
6502440023012000
740513354246500
oct5624262402200
91360863078330
10397868139648
1114380a213141
126513929a000
132b698a76805
1415384dc1a00
15a53968b2d3
hex5ca2ca0480

397868139648 has 384 divisors, whose sum is σ = 1368136526400. Its totient is φ = 113497251840.

The previous prime is 397868139637. The next prime is 397868139701. The reversal of 397868139648 is 846931868793.

397868139648 is a `hidden beast` number, since 397 + 8 + 68 + 139 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137336536 + ... + 137339432.

Almost surely, 2397868139648 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 397868139648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684068263200).

397868139648 is an abundant number, since it is smaller than the sum of its proper divisors (970268386752).

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

397868139648 is a wasteful number, since it uses less digits than its factorization.

397868139648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3720 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 397868139648 in words is "three hundred ninety-seven billion, eight hundred sixty-eight million, one hundred thirty-nine thousand, six hundred forty-eight".