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18595381248 = 2163431113
BaseRepresentation
bin10001010100010111…
…110000000000000000
31202222221111020120000
4101110113300000000
5301040404144443
612313111320000
71225545063333
oct212427600000
952887436500
1018595381248
117982676184
12372b680000
1319a469ca92
14c8593061a
1573c7b28d3
hex4545f0000

18595381248 has 340 divisors, whose sum is σ = 57855787968. Its totient is φ = 5945425920.

The previous prime is 18595381243. The next prime is 18595381271. The reversal of 18595381248 is 84218359581.

18595381248 is a `hidden beast` number, since 1 + 8 + 59 + 538 + 12 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18595381194 and 18595381203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18595381243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 164560840 + ... + 164560952.

Almost surely, 218595381248 is an apocalyptic number.

18595381248 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 18595381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28927893984).

18595381248 is an abundant number, since it is smaller than the sum of its proper divisors (39260406720).

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

18595381248 is an frugal number, since it uses more digits than its factorization.

18595381248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 18595381248 in words is "eighteen billion, five hundred ninety-five million, three hundred eighty-one thousand, two hundred forty-eight".