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1869474816 = 2103511683
BaseRepresentation
bin110111101101101…
…1110110000000000
311211021202011100000
41233123132300000
512312041143231
6505301200000
764220162616
oct15733366000
94737664300
101869474816
1187a2a7110
12442100000
1323a406821
1413a3dd6b6
15ae1cd6e6
hex6f6dec00

1869474816 has 264 divisors, whose sum is σ = 6115846464. Its totient is φ = 565678080.

The previous prime is 1869474793. The next prime is 1869474833. The reversal of 1869474816 is 6184749681.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

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, 2736811 + ... + 2737493.

Almost surely, 21869474816 is an apocalyptic number.

1869474816 is a gapful number since it is divisible by the number (16) 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 1869474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057923232).

1869474816 is an abundant number, since it is smaller than the sum of its proper divisors (4246371648).

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

1869474816 is an equidigital number, since it uses as much as digits as its factorization.

1869474816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 699 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1869474816 is about 43237.4237900456. The cubic root of 1869474816 is about 1231.8936209941.

The spelling of 1869474816 in words is "one billion, eight hundred sixty-nine million, four hundred seventy-four thousand, eight hundred sixteen".