Search a number
-
+
987228879840 = 253257214299791
BaseRepresentation
bin11100101110110110110…
…11010011101111100000
310111101012200022022010200
432113123123103233200
5112133321043123330
62033305433025200
7131216311010400
oct16273333235740
93441180268120
10987228879840
11350754a69335
1213b3b8b55200
13721314532c8
1435ad425a800
151aa30475a60
hexe5db6d3be0

987228879840 has 432 divisors, whose sum is σ = 3922089050880. Its totient is φ = 225471375360.

The previous prime is 987228879811. The next prime is 987228879859. The reversal of 987228879840 is 48978822789.

It is a super-2 number, since 2×9872288798402 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100825345 + ... + 100835135.

It is an arithmetic number, because the mean of its divisors is an integer number (9078909840).

Almost surely, 2987228879840 is an apocalyptic number.

987228879840 is a gapful number since it is divisible by the number (90) 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 987228879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961044525440).

987228879840 is an abundant number, since it is smaller than the sum of its proper divisors (2934860171040).

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

987228879840 is a wasteful number, since it uses less digits than its factorization.

987228879840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11255 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 987228879840 in words is "nine hundred eighty-seven billion, two hundred twenty-eight million, eight hundred seventy-nine thousand, eight hundred forty".