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4101726672 = 243228484213
BaseRepresentation
bin1111010001111011…
…0110000111010000
3101120212010022012200
43310132312013100
531400020223142
61515002123200
7203434046541
oct36436660720
911525108180
104101726672
111815354a5a
129657b0500
13504a1b104
142aca744c8
1519016b64c
hexf47b61d0

4101726672 has 30 divisors (see below), whose sum is σ = 11479138242. Its totient is φ = 1367242176.

The previous prime is 4101726637. The next prime is 4101726677. The reversal of 4101726672 is 2766271014.

4101726672 is a `hidden beast` number, since 410 + 172 + 6 + 6 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4049540496 + 52186176 = 63636^2 + 7224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101726677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14241963 + ... + 14242250.

Almost surely, 24101726672 is an apocalyptic number.

It is an amenable number.

4101726672 is an abundant number, since it is smaller than the sum of its proper divisors (7377411570).

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

4101726672 is a wasteful number, since it uses less digits than its factorization.

4101726672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28484227 (or 28484218 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4101726672 is about 64044.7239981562. The cubic root of 4101726672 is about 1600.7453131804.

Adding to 4101726672 its reverse (2766271014), we get a palindrome (6867997686).

The spelling of 4101726672 in words is "four billion, one hundred one million, seven hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 28484213 56968426 85452639 113936852 170905278 227873704 256357917 341810556 455747408 512715834 683621112 1025431668 1367242224 2050863336 4101726672