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988376284140 = 22357173143113919
BaseRepresentation
bin11100110000111111101…
…00010011101111101100
310111111011122100110221020
432120133310103233230
5112143143312043030
62034015341534140
7131256612540420
oct16303764235754
93444148313836
10988376284140
11351193711153
1213b679274350
1372285090a6b
1435ba27b8b80
151aa9b072510
hexe61fd13bec

988376284140 has 768 divisors, whose sum is σ = 3572457799680. Its totient is φ = 198985973760.

The previous prime is 988376284139. The next prime is 988376284141. The reversal of 988376284140 is 41482673889.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (988376284139) and next prime (988376284141).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (988376284141) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1075490601 + ... + 1075491519.

It is an arithmetic number, because the mean of its divisors is an integer number (4651637760).

Almost surely, 2988376284140 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 988376284140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786228899840).

988376284140 is an abundant number, since it is smaller than the sum of its proper divisors (2584081515540).

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

988376284140 is a wasteful number, since it uses less digits than its factorization.

988376284140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 988376284140 in words is "nine hundred eighty-eight billion, three hundred seventy-six million, two hundred eighty-four thousand, one hundred forty".