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990196128 = 253210873163
BaseRepresentation
bin111011000001010…
…011000110100000
32120000020011201200
4323001103012200
54011442234003
6242131201200
733352346115
oct7301230640
92500204650
10990196128
11468a38009
12237746200
1312a1b698c
149571890c
155bde66a3
hex3b0531a0

990196128 has 72 divisors (see below), whose sum is σ = 2819351808. Its totient is φ = 329657472.

The previous prime is 990196073. The next prime is 990196147. The reversal of 990196128 is 821691099.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311475 + ... + 314637.

It is an arithmetic number, because the mean of its divisors is an integer number (39157664).

Almost surely, 2990196128 is an apocalyptic number.

It is an amenable number.

990196128 is an abundant number, since it is smaller than the sum of its proper divisors (1829155680).

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

990196128 is a wasteful number, since it uses less digits than its factorization.

990196128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 990196128 is about 31467.3819692710. The cubic root of 990196128 is about 996.7213045714.

The spelling of 990196128 in words is "nine hundred ninety million, one hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1087 2174 3163 3261 4348 6326 6522 8696 9489 9783 12652 13044 17392 18978 19566 25304 26088 28467 34784 37956 39132 50608 52176 56934 75912 78264 101216 104352 113868 151824 156528 227736 303648 313056 455472 910944 3438181 6876362 10314543 13752724 20629086 27505448 30943629 41258172 55010896 61887258 82516344 110021792 123774516 165032688 247549032 330065376 495098064 990196128