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18583142400 = 2143252712
BaseRepresentation
bin10001010011101001…
…000100000000000000
31202222002110110000100
4101103221010000000
5301024241024100
612311553122400
71225336050504
oct212351040000
952862413010
1018583142400
117976776a29
123727559400
1319a1ca6164
14c84066304
1573b696400
hex453a44000

18583142400 has 405 divisors, whose sum is σ = 67517681413. Its totient is φ = 4885708800.

The previous prime is 18583142387. The next prime is 18583142407. The reversal of 18583142400 is 424138581.

The square root of 18583142400 is 136320.

It is a perfect power (a square), and thus also a powerful number.

18583142400 is a `hidden beast` number, since 185 + 8 + 31 + 42 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6689931264 + 11893211136 = 81792^2 + 109056^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18583142407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 261734365 + ... + 261734435.

Almost surely, 218583142400 is an apocalyptic number.

18583142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18583142400 is the 136320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18583142400

18583142400 is an abundant number, since it is smaller than the sum of its proper divisors (48934539013).

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

18583142400 is an frugal number, since it uses more digits than its factorization.

18583142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 18583142400 by its sum of digits (36), we get a square (668993126400 = 8179202).

18583142400 divided by its sum of digits (36) gives a square (516198400 = 227202).

The spelling of 18583142400 in words is "eighteen billion, five hundred eighty-three million, one hundred forty-two thousand, four hundred".