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991110190752 = 2532112172372739
BaseRepresentation
bin11100110110000101100…
…01010101011010100000
310111202020011200022202200
432123002301111122200
5112214243202101002
62035150523013200
7131414430422553
oct16330261253240
93452204608680
10991110190752
11352366956700
1214010096a200
13725cc5b9696
1435d8191669a
151abab0a3b1c
hexe6c2c556a0

991110190752 has 432 divisors, whose sum is σ = 3422887191360. Its totient is φ = 270375874560.

The previous prime is 991110190639. The next prime is 991110190753. The reversal of 991110190752 is 257091011199.

It is a junction number, because it is equal to n+sod(n) for n = 991110190698 and 991110190707.

It is not an unprimeable number, because it can be changed into a prime (991110190753) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13589199 + ... + 13661937.

It is an arithmetic number, because the mean of its divisors is an integer number (7923349980).

Almost surely, 2991110190752 is an apocalyptic number.

991110190752 is a gapful number since it is divisible by the number (92) 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 991110190752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711443595680).

991110190752 is an abundant number, since it is smaller than the sum of its proper divisors (2431777000608).

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

991110190752 is a wasteful number, since it uses less digits than its factorization.

991110190752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72817 (or 72795 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 45.

The spelling of 991110190752 in words is "nine hundred ninety-one billion, one hundred ten million, one hundred ninety thousand, seven hundred fifty-two".