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991128852 = 223372235879
BaseRepresentation
bin111011000100110…
…110110100010100
32120001222120012000
4323010312310110
54012212110402
6242203155300
733363312330
oct7304666424
92501876160
10991128852
1146951485a
12237b15b30
1312a45239c
14958bc7c0
155c02cc1c
hex3b136d14

991128852 has 96 divisors (see below), whose sum is σ = 2950348800. Its totient is φ = 281861856.

The previous prime is 991128851. The next prime is 991128871. The reversal of 991128852 is 258821199.

991128852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 991128798 and 991128807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991128851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165649 + ... + 171527.

It is an arithmetic number, because the mean of its divisors is an integer number (30732800).

Almost surely, 2991128852 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 991128852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475174400).

991128852 is an abundant number, since it is smaller than the sum of its proper divisors (1959219948).

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

991128852 is a wasteful number, since it uses less digits than its factorization.

991128852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122 (or 6114 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 991128852 is about 31482.1989702117. The cubic root of 991128852 is about 997.0341631746.

The spelling of 991128852 in words is "nine hundred ninety-one million, one hundred twenty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 223 252 378 446 669 756 892 1338 1561 2007 2676 3122 4014 4683 5879 6021 6244 8028 9366 11758 12042 14049 17637 18732 23516 24084 28098 35274 41153 42147 52911 56196 70548 82306 84294 105822 123459 158733 164612 168588 211644 246918 317466 370377 493836 634932 740754 1111131 1311017 1481508 2222262 2622034 3933051 4444524 5244068 7866102 9177119 11799153 15732204 18354238 23598306 27531357 35397459 36708476 47196612 55062714 70794918 82594071 110125428 141589836 165188142 247782213 330376284 495564426 991128852