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1889648640 = 21432511233
BaseRepresentation
bin111000010100001…
…1100000000000000
311212200201002121200
41300220130000000
512332222224030
6511301421200
764553514465
oct16050340000
94780632550
101889648640
1188a725aa0
12448a0a800
1324164b0b9
1413cd7166c
15b0d65d60
hex70a1c000

1889648640 has 360 divisors, whose sum is σ = 7176759408. Its totient is φ = 456130560.

The previous prime is 1889648627. The next prime is 1889648687. The reversal of 1889648640 is 468469881.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109964 + ... + 8110196.

Almost surely, 21889648640 is an apocalyptic number.

1889648640 is a gapful number since it is divisible by the number (10) 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 1889648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588379704).

1889648640 is an abundant number, since it is smaller than the sum of its proper divisors (5287110768).

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

1889648640 is a wasteful number, since it uses less digits than its factorization.

1889648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 1889648640 is about 43470.0890268240. The cubic root of 1889648640 is about 1236.3089685380.

The spelling of 1889648640 in words is "one billion, eight hundred eighty-nine million, six hundred forty-eight thousand, six hundred forty".