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1997146368 = 2834713759
BaseRepresentation
bin111011100001010…
…0000100100000000
312011011222112210000
41313002200210000
513042232140433
6530101440000
7100330315110
oct16702404400
95134875700
101997146368
11935378698
12478a10000
1325a9b8519
1414d355040
15ba4ec113
hex770a0900

1997146368 has 180 divisors, whose sum is σ = 6806356480. Its totient is φ = 570571776.

The previous prime is 1997146357. The next prime is 1997146381. The reversal of 1997146368 is 8636417991.

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138273 + ... + 152031.

Almost surely, 21997146368 is an apocalyptic number.

1997146368 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 1997146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403178240).

1997146368 is an abundant number, since it is smaller than the sum of its proper divisors (4809210112).

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

1997146368 is an equidigital number, since it uses as much as digits as its factorization.

1997146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13794 (or 13771 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1997146368 is about 44689.4435857060. The cubic root of 1997146368 is about 1259.3215395032.

The spelling of 1997146368 in words is "one billion, nine hundred ninety-seven million, one hundred forty-six thousand, three hundred sixty-eight".