Search a number
-
+
190928828248000 = 2653174229331967
BaseRepresentation
bin101011011010011000010100…
…111111000010111111000000
3221001000121200022121121210021
4223122120110333002333000
5200011134220012414000
61514023254241143224
755134103231532053
oct5332302477027700
9831017608547707
10190928828248000
1155921509050577
12194b735232ab14
13826c6852a0a8b
14352100c86aa9a
15171176c49611a
hexada614fc2fc0

190928828248000 has 224 divisors, whose sum is σ = 500768974218240. Its totient is φ = 71861875097600.

The previous prime is 190928828247973. The next prime is 190928828248009. The reversal of 190928828248000 is 842828829091.

190928828248000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 190928828248000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190928828248009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574978017 + ... + 575309983.

It is an arithmetic number, because the mean of its divisors is an integer number (2235575777760).

Almost surely, 2190928828248000 is an apocalyptic number.

190928828248000 is a gapful number since it is divisible by the number (10) 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 190928828248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250384487109120).

190928828248000 is an abundant number, since it is smaller than the sum of its proper divisors (309840145970240).

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

190928828248000 is a wasteful number, since it uses less digits than its factorization.

190928828248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336240 (or 336220 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 61.

The spelling of 190928828248000 in words is "one hundred ninety trillion, nine hundred twenty-eight billion, eight hundred twenty-eight million, two hundred forty-eight thousand".