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168417601 = 11210113781
BaseRepresentation
bin10100000100111…
…01100101000001
3102201220111111221
422002131211001
5321103330401
624413435041
74113345262
oct1202354501
9381814457
10168417601
1187081700
124849ba81
1328b79cb1
1418520969
15ebbb7a1
hexa09d941

168417601 has 12 divisors (see below), whose sum is σ = 186966612. Its totient is φ = 151580000.

The previous prime is 168417593. The next prime is 168417617. The reversal of 168417601 is 106714861.

It can be written as a sum of positive squares in 2 ways, for example, as 135699201 + 32718400 = 11649^2 + 5720^2 .

It is not a de Polignac number, because 168417601 - 23 = 168417593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168417001) 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 11 ways as a sum of consecutive naturals, for example, 5331 + ... + 19111.

It is an arithmetic number, because the mean of its divisors is an integer number (15580551).

Almost surely, 2168417601 is an apocalyptic number.

168417601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

168417601 is a deficient number, since it is larger than the sum of its proper divisors (18549011).

168417601 is a wasteful number, since it uses less digits than its factorization.

168417601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13904 (or 13893 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 168417601 is about 12977.5807067419. The cubic root of 168417601 is about 552.2416512235.

It can be divided in two parts, 16841 and 7601, that added together give a palindrome (24442).

The spelling of 168417601 in words is "one hundred sixty-eight million, four hundred seventeen thousand, six hundred one".

Divisors: 1 11 101 121 1111 12221 13781 151591 1391881 1667501 15310691 168417601