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17994371616 = 2535131737283
BaseRepresentation
bin10000110000100011…
…000101001000100000
31201110001120210100000
4100300203011020200
5243323024342431
612133321500000
71204626430554
oct206043051040
951401523300
1017994371616
1176a4398801
1235a2341600
13190a00c790
14c29ba3864
15704b459e6
hex4308c5220

17994371616 has 576 divisors, whose sum is σ = 62365500288. Its totient is φ = 5052284928.

The previous prime is 17994371597. The next prime is 17994371663. The reversal of 17994371616 is 61617349971.

17994371616 is a `hidden beast` number, since 17 + 9 + 9 + 4 + 3 + 7 + 1 + 616 = 666.

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

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, 63584211 + ... + 63584493.

It is an arithmetic number, because the mean of its divisors is an integer number (108273438).

Almost surely, 217994371616 is an apocalyptic number.

17994371616 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 17994371616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31182750144).

17994371616 is an abundant number, since it is smaller than the sum of its proper divisors (44371128672).

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

17994371616 is a wasteful number, since it uses less digits than its factorization.

17994371616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 355 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The spelling of 17994371616 in words is "seventeen billion, nine hundred ninety-four million, three hundred seventy-one thousand, six hundred sixteen".