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1990162944 = 29327117179
BaseRepresentation
bin111011010011111…
…0111101000000000
312010200211202022200
41312213313220000
513033440203234
6525252033200
7100214051220
oct16647675000
95120752280
101990162944
11931438970
12476602800
13259411a13
1414c458080
15b9abcd99
hex769f7a00

1990162944 has 480 divisors, whose sum is σ = 7353815040. Its totient is φ = 503193600.

The previous prime is 1990162927. The next prime is 1990163027. The reversal of 1990162944 is 4492610991.

1990162944 is a `hidden beast` number, since 19 + 9 + 0 + 1 + 629 + 4 + 4 = 666.

1990162944 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1990162944.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25191897 + ... + 25191975.

It is an arithmetic number, because the mean of its divisors is an integer number (15320448).

Almost surely, 21990162944 is an apocalyptic number.

1990162944 is a gapful number since it is divisible by the number (14) 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 1990162944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676907520).

1990162944 is an abundant number, since it is smaller than the sum of its proper divisors (5363652096).

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

1990162944 is a wasteful number, since it uses less digits than its factorization.

1990162944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1990162944 is about 44611.2423498831. The cubic root of 1990162944 is about 1257.8520016335.

The spelling of 1990162944 in words is "one billion, nine hundred ninety million, one hundred sixty-two thousand, nine hundred forty-four".