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18754475616 = 253617192131
BaseRepresentation
bin10001011101110110…
…101001011001100000
31210102000212002000000
4101131312221121200
5301402121204431
612340553300000
71232516261322
oct213566513140
953360762000
1018754475616
117a5445a128
123774a04600
1319cb634266
14c9cb05612
1574b73b9e6
hex45dda9660

18754475616 has 504 divisors, whose sum is σ = 62335022904. Its totient is φ = 5531535360.

The previous prime is 18754475569. The next prime is 18754475617. The reversal of 18754475616 is 61657445781.

18754475616 is a `hidden beast` number, since 1 + 8 + 75 + 4 + 4 + 7 + 561 + 6 = 666.

It is a super-2 number, since 2×187544756162 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18754475617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 143163871 + ... + 143164001.

It is an arithmetic number, because the mean of its divisors is an integer number (123680601).

Almost surely, 218754475616 is an apocalyptic number.

18754475616 is a gapful number since it is divisible by the number (16) 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 18754475616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31167511452).

18754475616 is an abundant number, since it is smaller than the sum of its proper divisors (43580547288).

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

18754475616 is a wasteful number, since it uses less digits than its factorization.

18754475616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 172 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 18754475616 in words is "eighteen billion, seven hundred fifty-four million, four hundred seventy-five thousand, six hundred sixteen".