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1814012928 = 210337213103
BaseRepresentation
bin110110000011111…
…1010010000000000
311200102101101221000
41230013322100000
512203341403203
6500000332000
762644566300
oct15407722000
94612341830
101814012928
11850a65842
12427614000
1322ba88340
14132cc3600
15a93c54a3
hex6c1fa400

1814012928 has 528 divisors, whose sum is σ = 6795384960. Its totient is φ = 473776128.

The previous prime is 1814012917. The next prime is 1814012969. The reversal of 1814012928 is 8292104181.

It is a happy number.

It is a super-2 number, since 2×18140129282 = 6581285805902266368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1814012892 and 1814012901.

It is a congruent number.

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, 17611725 + ... + 17611827.

Almost surely, 21814012928 is an apocalyptic number.

1814012928 is a gapful number since it is divisible by the number (18) 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 1814012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397692480).

1814012928 is an abundant number, since it is smaller than the sum of its proper divisors (4981372032).

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

1814012928 is a wasteful number, since it uses less digits than its factorization.

1814012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1814012928 is about 42591.2306466953. The cubic root of 1814012928 is about 1219.5888895203.

The spelling of 1814012928 in words is "one billion, eight hundred fourteen million, twelve thousand, nine hundred twenty-eight".