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4013193275 = 5271329591031
BaseRepresentation
bin1110111100110100…
…0111100000111011
3101100200112100012222
43233031013200323
531204334141100
61502120354255
7201310402640
oct35715074073
911320470188
104013193275
11177a385563
1294001598b
134bc5908a0
142a0dc9dc7
151874ce485
hexef34783b

4013193275 has 96 divisors (see below), whose sum is σ = 6449587200. Its totient is φ = 2408716800.

The previous prime is 4013193263. The next prime is 4013193293. The reversal of 4013193275 is 5723913104.

Together with 2436393924 it forms a betrothed pair.

It is not a de Polignac number, because 4013193275 - 26 = 4013193211 is a prime.

It is a super-2 number, since 2×40131932752 = 32211440525010451250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3892010 + ... + 3893040.

It is an arithmetic number, because the mean of its divisors is an integer number (67183200).

Almost surely, 24013193275 is an apocalyptic number.

4013193275 is a deficient number, since it is larger than the sum of its proper divisors (2436393925).

4013193275 is a wasteful number, since it uses less digits than its factorization.

4013193275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 4013193275 is about 63349.7693365966. The cubic root of 4013193275 is about 1589.1443882290.

The spelling of 4013193275 in words is "four billion, thirteen million, one hundred ninety-three thousand, two hundred seventy-five".

Divisors: 1 5 7 13 25 29 35 59 65 91 145 175 203 295 325 377 413 455 725 767 1015 1031 1475 1711 1885 2065 2275 2639 3835 5075 5155 5369 7217 8555 9425 10325 11977 13195 13403 19175 22243 25775 26845 29899 36085 42775 59885 60829 65975 67015 93821 111215 134225 149495 155701 180425 209293 299425 304145 335075 388687 425803 469105 556075 747475 778505 790777 1046465 1520725 1764041 1943435 2129015 2345525 2720809 3892525 3953885 5232325 5535439 8820205 9717175 10645075 12348287 13604045 19769425 22932533 27677195 44101025 61741435 68020225 114662665 138385975 160527731 308707175 573313325 802638655 4013193275