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991493429760 = 29335127179631
BaseRepresentation
bin11100110110110011001…
…11010001101000000000
310111210012212210212212000
432123121213101220000
5112221034304223020
62035252533104000
7131430063045501
oct16333147215000
93453185725760
10991493429760
11352543213859
121401a9188000
1372660b0cc22
1435dba796ba8
151abcea56090
hexe6d99d1a00

991493429760 has 640 divisors, whose sum is σ = 3575085465600. Its totient is φ = 260437524480.

The previous prime is 991493429749. The next prime is 991493429791. The reversal of 991493429760 is 67924394199.

991493429760 is a `hidden beast` number, since 9 + 9 + 149 + 3 + 429 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1571304645 + ... + 1571305275.

It is an arithmetic number, because the mean of its divisors is an integer number (5586071040).

Almost surely, 2991493429760 is an apocalyptic number.

991493429760 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 991493429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787542732800).

991493429760 is an abundant number, since it is smaller than the sum of its proper divisors (2583592035840).

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

991493429760 is a wasteful number, since it uses less digits than its factorization.

991493429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 991493429760 in words is "nine hundred ninety-one billion, four hundred ninety-three million, four hundred twenty-nine thousand, seven hundred sixty".