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18180422400 = 283527135271
BaseRepresentation
bin10000111011101000…
…110011101100000000
31201221000200011000210
4100323220303230000
5244213142004100
612204005314120
71212346016640
oct207350635400
951830604023
1018180422400
11778a413488
123634705940
1319397217ba
14c46794520
15716146c50
hex43ba33b00

18180422400 has 216 divisors, whose sum is σ = 68571000064. Its totient is φ = 4155494400.

The previous prime is 18180422383. The next prime is 18180422411. The reversal of 18180422400 is 422408181.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 66765 + ... + 202035.

Almost surely, 218180422400 is an apocalyptic number.

18180422400 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 18180422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34285500032).

18180422400 is an abundant number, since it is smaller than the sum of its proper divisors (50390577664).

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

18180422400 is a wasteful number, since it uses less digits than its factorization.

18180422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135307 (or 135288 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 18180422400 in words is "eighteen billion, one hundred eighty million, four hundred twenty-two thousand, four hundred".