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4101266016 = 253218017907
BaseRepresentation
bin1111010001110100…
…0101101001100000
3101120211020220022100
43310131011221200
531344411003031
61514544210400
7203430120531
oct36435055140
911524226270
104101266016
11181506a951
12965609a00
135048b9533
142ac994688
151900c9de6
hexf4745a60

4101266016 has 72 divisors (see below), whose sum is σ = 11670926904. Its totient is φ = 1366156800.

The previous prime is 4101266011. The next prime is 4101266017. The reversal of 4101266016 is 6106621014.

4101266016 is a `hidden beast` number, since 41 + 0 + 12 + 6 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101266011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514735 + ... + 522641.

It is an arithmetic number, because the mean of its divisors is an integer number (162096207).

Almost surely, 24101266016 is an apocalyptic number.

It is an amenable number.

4101266016 is an abundant number, since it is smaller than the sum of its proper divisors (7569660888).

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

4101266016 is a wasteful number, since it uses less digits than its factorization.

4101266016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4101266016 is about 64041.1275353581. The cubic root of 4101266016 is about 1600.6853855289.

The spelling of 4101266016 in words is "four billion, one hundred one million, two hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1801 3602 5403 7204 7907 10806 14408 15814 16209 21612 23721 28816 31628 32418 43224 47442 57632 63256 64836 71163 86448 94884 126512 129672 142326 172896 189768 253024 259344 284652 379536 518688 569304 759072 1138608 2277216 14240507 28481014 42721521 56962028 85443042 113924056 128164563 170886084 227848112 256329126 341772168 455696224 512658252 683544336 1025316504 1367088672 2050633008 4101266016