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1818823680 = 21033559223
BaseRepresentation
bin110110001101001…
…0000110000000000
311200202102211001000
41230122100300000
512211104324210
6500251412000
763033513642
oct15432206000
94622384030
101818823680
11853751173
12429154000
1322ca80c3b
141337b6892
15a9a25ac0
hex6c690c00

1818823680 has 352 divisors, whose sum is σ = 6602803200. Its totient is φ = 474660864.

The previous prime is 1818823663. The next prime is 1818823681. The reversal of 1818823680 is 863288181.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1818823681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8156049 + ... + 8156271.

Almost surely, 21818823680 is an apocalyptic number.

1818823680 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 1818823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301401600).

1818823680 is an abundant number, since it is smaller than the sum of its proper divisors (4783979520).

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

1818823680 is a wasteful number, since it uses less digits than its factorization.

1818823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 1818823680 is about 42647.6691039499. The cubic root of 1818823680 is about 1220.6660521444. Note that the first 3 decimals are identical.

The spelling of 1818823680 in words is "one billion, eight hundred eighteen million, eight hundred twenty-three thousand, six hundred eighty".