Search a number
-
+
988422009120 = 2533571315116651
BaseRepresentation
bin11100110001000101000…
…10101111000100100000
310111111021211101112211000
432120202202233010200
5112143242013242440
62034024053552000
7131261006311410
oct16304242570440
93444254345730
10988422009120
11351207501a97
1213b690645600
13722916b0370
1435ba88bc640
151aaa00a5730
hexe6228af120

988422009120 has 768 divisors, whose sum is σ = 4286272757760. Its totient is φ = 207152640000.

The previous prime is 988422009101. The next prime is 988422009221. The reversal of 988422009120 is 21900224889.

It is a happy number.

It is a super-2 number, since 2×9884220091202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59352795 + ... + 59369445.

It is an arithmetic number, because the mean of its divisors is an integer number (5581084320).

Almost surely, 2988422009120 is an apocalyptic number.

988422009120 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 988422009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143136378880).

988422009120 is an abundant number, since it is smaller than the sum of its proper divisors (3297850748640).

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

988422009120 is a wasteful number, since it uses less digits than its factorization.

988422009120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16846 (or 16832 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 988422009120 in words is "nine hundred eighty-eight billion, four hundred twenty-two million, nine thousand, one hundred twenty".