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991006164 = 22343058661
BaseRepresentation
bin111011000100011…
…000110111010100
32120001202022220000
4323010120313110
54012144144124
6242200411300
733362261541
oct7304306724
92501668800
10991006164
11469440665
12237a76b30
1312a40b5a5
1495889bc8
155c0066c9
hex3b118dd4

991006164 has 30 divisors (see below), whose sum is σ = 2590686714. Its totient is φ = 330335280.

The previous prime is 991006153. The next prime is 991006193. The reversal of 991006164 is 461600199.

991006164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 942981264 + 48024900 = 30708^2 + 6930^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1529007 + ... + 1529654.

Almost surely, 2991006164 is an apocalyptic number.

It is an amenable number.

991006164 is an abundant number, since it is smaller than the sum of its proper divisors (1599680550).

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

991006164 is a wasteful number, since it uses less digits than its factorization.

991006164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058677 (or 3058666 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 991006164 is about 31480.2503801987. The cubic root of 991006164 is about 996.9930218118.

The spelling of 991006164 in words is "nine hundred ninety-one million, six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3058661 6117322 9175983 12234644 18351966 27527949 36703932 55055898 82583847 110111796 165167694 247751541 330335388 495503082 991006164