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18554058981468 = 22331729536574949
BaseRepresentation
bin1000011011111111101000…
…00110000100000001011100
32102200202021021100011101000
410031333310012010001130
54412442203044401333
6103243341135550300
73623325610115163
oct415776406040134
972622237304330
1018554058981468
115a0380665663a
1220b7a9898b390
13a4784284003a
1448204242a3da
152229788a7713
hex10dff418405c

18554058981468 has 192 divisors, whose sum is σ = 53683151760000. Its totient is φ = 5514119589888.

The previous prime is 18554058981457. The next prime is 18554058981481. The reversal of 18554058981468 is 86418985045581.

18554058981468 is a `hidden beast` number, since 1 + 8 + 5 + 5 + 4 + 0 + 5 + 89 + 81 + 468 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18554058981396 and 18554058981405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465543 + ... + 6109406.

It is an arithmetic number, because the mean of its divisors is an integer number (279599748750).

Almost surely, 218554058981468 is an apocalyptic number.

18554058981468 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 18554058981468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26841575880000).

18554058981468 is an abundant number, since it is smaller than the sum of its proper divisors (35129092778532).

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

18554058981468 is a wasteful number, since it uses less digits than its factorization.

18554058981468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6575061 (or 6575053 counting only the distinct ones).

The product of its (nonzero) digits is 442368000, while the sum is 72.

The spelling of 18554058981468 in words is "eighteen trillion, five hundred fifty-four billion, fifty-eight million, nine hundred eighty-one thousand, four hundred sixty-eight".