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99170995968 = 28321121272801
BaseRepresentation
bin101110001011100001…
…1010100111100000000
3100110222101201120111200
41130113003110330000
53111100233332333
6113320350341200
710110356362062
oct1342703247400
9313871646450
1099170995968
1139070495100
12172781ba800
139475b43005
144b2ad05732
1528a6583c13
hex17170d4f00

99170995968 has 324 divisors, whose sum is σ = 316879390464. Its totient is φ = 29804544000.

The previous prime is 99170995967. The next prime is 99170996003. The reversal of 99170995968 is 86959907199.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 99170995896 and 99170995905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99170995967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35404168 + ... + 35406968.

Almost surely, 299170995968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99170995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158439695232).

99170995968 is an abundant number, since it is smaller than the sum of its proper divisors (217708394496).

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

99170995968 is a wasteful number, since it uses less digits than its factorization.

99170995968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 72.

The spelling of 99170995968 in words is "ninety-nine billion, one hundred seventy million, nine hundred ninety-five thousand, nine hundred sixty-eight".