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168852801 = 3132418123
BaseRepresentation
bin10100001000001…
…11110101000001
3102202201121111110
422010013311001
5321211242201
624431033533
74120140135
oct1204076501
9382647443
10168852801
1187349677
124866b8a9
1328ca0100
14185d53c5
15ec556d6
hexa107d41

168852801 has 24 divisors (see below), whose sum is σ = 249764256. Its totient is φ = 101362560.

The previous prime is 168852773. The next prime is 168852809. The reversal of 168852801 is 108258861.

It is not a de Polignac number, because 168852801 - 26 = 168852737 is a prime.

It is a super-2 number, since 2×1688528012 = 57022536811091202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 168852801.

It is not an unprimeable number, because it can be changed into a prime (168852809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16726 + ... + 24848.

It is an arithmetic number, because the mean of its divisors is an integer number (10406844).

Almost surely, 2168852801 is an apocalyptic number.

It is an amenable number.

168852801 is a deficient number, since it is larger than the sum of its proper divisors (80911455).

168852801 is a wasteful number, since it uses less digits than its factorization.

168852801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8193 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 168852801 is about 12994.3372666712. The cubic root of 168852801 is about 552.7169159793.

It can be divided in two parts, 168852 and 801, that added together give a triangular number (169653 = T582).

The spelling of 168852801 in words is "one hundred sixty-eight million, eight hundred fifty-two thousand, eight hundred one".

Divisors: 1 3 13 39 41 123 169 507 533 1599 6929 8123 20787 24369 105599 316797 333043 999129 1372787 4118361 4329559 12988677 56284267 168852801