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995669599680 = 2636572932081
BaseRepresentation
bin11100111110100101000…
…10000110010111000000
310112011222221000022000000
432133102202012113000
5112303112404142210
62041223155000000
7131635422646140
oct16372242062700
93464887008000
10995669599680
11354296594058
12140b73899000
1372b780940a2
1436295288920
151ad764c9ac0
hexe7d28865c0

995669599680 has 784 divisors, whose sum is σ = 4078431532224. Its totient is φ = 226695905280.

The previous prime is 995669599669. The next prime is 995669599681. The reversal of 995669599680 is 86995966599.

It is a super-2 number, since 2×9956695996802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 995669599680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995669599681) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 478456240 + ... + 478458320.

It is an arithmetic number, because the mean of its divisors is an integer number (5202081036).

Almost surely, 2995669599680 is an apocalyptic number.

995669599680 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 995669599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039215766112).

995669599680 is an abundant number, since it is smaller than the sum of its proper divisors (3082761932544).

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

995669599680 is a wasteful number, since it uses less digits than its factorization.

995669599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 2550916800, while the sum is 81.

The spelling of 995669599680 in words is "nine hundred ninety-five billion, six hundred sixty-nine million, five hundred ninety-nine thousand, six hundred eighty".