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11472057675 = 3352137317909
BaseRepresentation
bin10101010111100100…
…11011010101001011
31002121111200220122000
422223302123111023
5141443321321200
65134210002043
7554200611201
oct125362332513
932544626560
1011472057675
11495774a801
122281b76323
13110a978210
147ab871071
15472238300
hex2abc9b54b

11472057675 has 96 divisors (see below), whose sum is σ = 23007902400. Its totient is φ = 5570104320.

The previous prime is 11472057661. The next prime is 11472057679. The reversal of 11472057675 is 57675027411.

11472057675 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 2 + 0 + 576 + 75 = 666.

It is not a de Polignac number, because 11472057675 - 217 = 11471926603 is a prime.

It is a super-3 number, since 3×114720576753 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11472057675.

It is not an unprimeable number, because it can be changed into a prime (11472057679) by changing a digit.

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, 631621 + ... + 649529.

It is an arithmetic number, because the mean of its divisors is an integer number (239665650).

Almost surely, 211472057675 is an apocalyptic number.

11472057675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11472057675 is an abundant number, since it is smaller than the sum of its proper divisors (11535844725).

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

11472057675 is a wasteful number, since it uses less digits than its factorization.

11472057675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18014 (or 18003 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 11472057675 in words is "eleven billion, four hundred seventy-two million, fifty-seven thousand, six hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 73 75 117 135 195 219 225 325 351 365 585 657 675 949 975 1095 1755 1825 1971 2847 2925 3285 4745 5475 8541 8775 9855 14235 16425 17909 23725 25623 42705 49275 53727 71175 89545 128115 161181 213525 232817 268635 447725 483543 640575 698451 805905 1164085 1307357 1343175 2095353 2417715 3492255 3922071 4029525 5820425 6286059 6536785 10476765 11766213 12088575 16995641 17461275 19610355 31430295 32683925 35298639 50986923 52383825 58831065 84978205 98051775 152960769 157151475 176493195 254934615 294155325 424891025 458882307 764803845 882465975 1274673075 2294411535 3824019225 11472057675