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18148225680 = 24325134367673
BaseRepresentation
bin10000111001101101…
…111111001010010000
31201211210002101102200
4100321231333022100
5244131421210210
612200455243200
71211505241644
oct207155771220
951753071380
1018148225680
117773222622
123625979500
131932b5a9a0
14c423b2c24
157133d70c0
hex439b7f290

18148225680 has 480 divisors, whose sum is σ = 68266214016. Its totient is φ = 4291854336.

The previous prime is 18148225631. The next prime is 18148225727. The reversal of 18148225680 is 8652284181.

18148225680 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 82 + 2 + 568 + 0 = 666.

It is a super-2 number, since 2×181482256802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26965824 + ... + 26966496.

Almost surely, 218148225680 is an apocalyptic number.

18148225680 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 18148225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34133107008).

18148225680 is an abundant number, since it is smaller than the sum of its proper divisors (50117988336).

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

18148225680 is a wasteful number, since it uses less digits than its factorization.

18148225680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 18148225680 in words is "eighteen billion, one hundred forty-eight million, two hundred twenty-five thousand, six hundred eighty".