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4132275714 = 2327172966523
BaseRepresentation
bin1111011001001101…
…1000011000000010
3101122222121100121200
43312103120120002
531430330310324
61522013002030
7204254523030
oct36623303002
911588540550
104132275714
11183061a9a6
12973a83316
1350b155c78
142b2b47550
15192ba2ec9
hexf64d8602

4132275714 has 96 divisors (see below), whose sum is σ = 11207963520. Its totient is φ = 1072866816.

The previous prime is 4132275713. The next prime is 4132275739. The reversal of 4132275714 is 4175722314.

4132275714 is a `hidden beast` number, since 413 + 227 + 5 + 7 + 14 = 666.

It is not an unprimeable number, because it can be changed into a prime (4132275713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28857 + ... + 95379.

It is an arithmetic number, because the mean of its divisors is an integer number (116749620).

Almost surely, 24132275714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132275714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603981760).

4132275714 is an abundant number, since it is smaller than the sum of its proper divisors (7075687806).

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

4132275714 is a wasteful number, since it uses less digits than its factorization.

4132275714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66584 (or 66581 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 4132275714 is about 64282.7792958581. The cubic root of 4132275714 is about 1604.7095243969.

The spelling of 4132275714 in words is "four billion, one hundred thirty-two million, two hundred seventy-five thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 29 34 42 51 58 63 87 102 119 126 153 174 203 238 261 306 357 406 493 522 609 714 986 1071 1218 1479 1827 2142 2958 3451 3654 4437 6902 8874 10353 20706 31059 62118 66523 133046 199569 399138 465661 598707 931322 1130891 1197414 1396983 1929167 2261782 2793966 3392673 3858334 4190949 5787501 6785346 7916237 8381898 10178019 11575002 13504169 15832474 17362503 20356038 23748711 27008338 32795839 34725006 40512507 47497422 65591678 71246133 81025014 98387517 121537521 142492266 196775034 229570873 243075042 295162551 459141746 590325102 688712619 1377425238 2066137857 4132275714