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18057489408 = 21035721481
BaseRepresentation
bin10000110100010011…
…110110110000000000
31201121110100111200000
4100310103312300000
5243440204130113
612143454400000
71206324061500
oct206423666000
951543314600
1018057489408
117726a89072
1235bb500000
13191a10b89a
14c34313a00
1570a462373
hex4344f6c00

18057489408 has 396 divisors, whose sum is σ = 62942253192. Its totient is φ = 5155799040.

The previous prime is 18057489407. The next prime is 18057489431. The reversal of 18057489408 is 80498475081.

18057489408 is a `hidden beast` number, since 180 + 57 + 4 + 8 + 9 + 408 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18057489407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12192028 + ... + 12193508.

Almost surely, 218057489408 is an apocalyptic number.

18057489408 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 18057489408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31471126596).

18057489408 is an abundant number, since it is smaller than the sum of its proper divisors (44884763784).

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

18057489408 is an equidigital number, since it uses as much as digits as its factorization.

18057489408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 18057489408 in words is "eighteen billion, fifty-seven million, four hundred eighty-nine thousand, four hundred eight".