Search a number
-
+
16067568868300 = 225217791093373257
BaseRepresentation
bin1110100111010000010110…
…1111000001101111001100
32002220001012111111221212101
43221310011233001233030
54101222340112241200
654101201135244444
73245562222640555
oct351640557015714
962801174457771
1016067568868300
115135243822294
121976004379724
138c721c066ba1
143d7962acd32c
151cce4ad6626a
hexe9d05bc1bcc

16067568868300 has 288 divisors, whose sum is σ = 37851464851200. Its totient is φ = 5898234101760.

The previous prime is 16067568868291. The next prime is 16067568868369. The reversal of 16067568868300 is 386886576061.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4933240272 + ... + 4933243528.

It is an arithmetic number, because the mean of its divisors is an integer number (131428697400).

Almost surely, 216067568868300 is an apocalyptic number.

16067568868300 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 16067568868300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18925732425600).

16067568868300 is an abundant number, since it is smaller than the sum of its proper divisors (21783895982900).

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

16067568868300 is a wasteful number, since it uses less digits than its factorization.

16067568868300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 16067568868300 in words is "sixteen trillion, sixty-seven billion, five hundred sixty-eight million, eight hundred sixty-eight thousand, three hundred".