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17191993392 = 243572314171
BaseRepresentation
bin10000000000101110…
…010000000000110000
31122101010202202100000
4100000232100000300
5240202122242032
611521540030000
71146014350500
oct200056200060
948333682300
1017191993392
117322483102
1233b9692300
13180ca06272
14b913b9a00
156a949de7c
hex400b90030

17191993392 has 720 divisors, whose sum is σ = 62240016384. Its totient is φ = 4572288000.

The previous prime is 17191993391. The next prime is 17191993397. The reversal of 17191993392 is 29339919171.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (17191993391) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 242140717 + ... + 242140787.

Almost surely, 217191993392 is an apocalyptic number.

17191993392 is a gapful number since it is divisible by the number (12) 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 17191993392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31120008192).

17191993392 is an abundant number, since it is smaller than the sum of its proper divisors (45048022992).

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

17191993392 is a wasteful number, since it uses less digits than its factorization.

17191993392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its digits is 826686, while the sum is 54.

The spelling of 17191993392 in words is "seventeen billion, one hundred ninety-one million, nine hundred ninety-three thousand, three hundred ninety-two".