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68579101 = 4110116561
BaseRepresentation
bin1000001011001…
…10111100011101
311210001011211201
410011212330131
5120024012401
610445515501
71461625033
oct405467435
9153034751
1068579101
1135790548
121ab72b91
1311291b66
149172553
156049b01
hex4166f1d

68579101 has 8 divisors (see below), whose sum is σ = 70951608. Its totient is φ = 66240000.

The previous prime is 68579089. The next prime is 68579117. The reversal of 68579101 is 10197586.

It can be written as a sum of positive squares in 4 ways, for example, as 912025 + 67667076 = 955^2 + 8226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(68579101) divides (68579101-1)5.

It is a cyclic number.

It is not a de Polignac number, because 68579101 - 29 = 68578589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68579131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4140 + ... + 12421.

It is an arithmetic number, because the mean of its divisors is an integer number (8868951).

Almost surely, 268579101 is an apocalyptic number.

68579101 is the 4141-st decagonal number.

It is an amenable number.

68579101 is a deficient number, since it is larger than the sum of its proper divisors (2372507).

68579101 is a wasteful number, since it uses less digits than its factorization.

68579101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16703.

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 68579101 is about 8281.2499660377. The cubic root of 68579101 is about 409.3209083475.

The spelling of 68579101 in words is "sixty-eight million, five hundred seventy-nine thousand, one hundred one".

Divisors: 1 41 101 4141 16561 679001 1672661 68579101