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4201665696 = 25342955897
BaseRepresentation
bin1111101001110000…
…0101010010100000
3101211211011201210000
43322130011102200
532101111300241
61532532140000
7206056366134
oct37234052240
911754151700
104201665696
111866804698
12993167600
1351c63cc27
142bc04b3c4
15198d0ceb6
hexfa7054a0

4201665696 has 120 divisors (see below), whose sum is σ = 12783313620. Its totient is φ = 1352236032.

The previous prime is 4201665673. The next prime is 4201665701. The reversal of 4201665696 is 6965661024.

4201665696 is a `hidden beast` number, since 4 + 20 + 1 + 66 + 569 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4194375696 + 7290000 = 64764^2 + 2700^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47220 + ... + 103116.

Almost surely, 24201665696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201665696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391656810).

4201665696 is an abundant number, since it is smaller than the sum of its proper divisors (8581647924).

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

4201665696 is a wasteful number, since it uses less digits than its factorization.

4201665696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55948 (or 55931 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4201665696 is about 64820.2568338016. The cubic root of 4201665696 is about 1613.6419100277.

The spelling of 4201665696 in words is "four billion, two hundred one million, six hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 2088 2349 2592 2784 3132 4176 4698 6264 8352 9396 12528 18792 25056 37584 55897 75168 111794 167691 223588 335382 447176 503073 670764 894352 1006146 1341528 1509219 1621013 1788704 2012292 2683056 3018438 3242026 4024584 4527657 4863039 5366112 6036876 6484052 8049168 9055314 9726078 12073752 12968104 14589117 16098336 18110628 19452156 24147504 25936208 29178234 36221256 38904312 43767351 48295008 51872416 58356468 72442512 77808624 87534702 116712936 131302053 144885024 155617248 175069404 233425872 262604106 350138808 466851744 525208212 700277616 1050416424 1400555232 2100832848 4201665696