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11983754819817 = 32117311320117297
BaseRepresentation
bin1010111001100010111101…
…1100101111100011101001
31120102122011110220110000100
42232120233130233203221
53032320212213213232
641253132211300013
72344540421163114
oct256305734574351
946378143813010
1011983754819817
1139003111a8560
1214166472aa609
1368c0a8bc0a31
142d603426757b
1515bad1b48c7c
hexae62f72f8e9

11983754819817 has 96 divisors (see below), whose sum is σ = 19323820953216. Its totient is φ = 7095494246400.

The previous prime is 11983754819791. The next prime is 11983754819849. The reversal of 11983754819817 is 71891845738911.

11983754819817 is a `hidden beast` number, since 1 + 1 + 98 + 375 + 4 + 81 + 98 + 1 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-11983754819817 is a prime.

It is a super-2 number, since 2×119837548198172 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11983754817817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1642281513 + ... + 1642288809.

It is an arithmetic number, because the mean of its divisors is an integer number (201289801596).

Almost surely, 211983754819817 is an apocalyptic number.

It is an amenable number.

11983754819817 is a deficient number, since it is larger than the sum of its proper divisors (7340066133399).

11983754819817 is a wasteful number, since it uses less digits than its factorization.

11983754819817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9511 (or 9508 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 72.

The spelling of 11983754819817 in words is "eleven trillion, nine hundred eighty-three billion, seven hundred fifty-four million, eight hundred nineteen thousand, eight hundred seventeen".

Divisors: 1 3 9 11 33 73 99 113 219 339 657 803 1017 1243 2011 2409 3729 6033 7227 7297 8249 11187 18099 21891 22121 24747 65673 66363 74241 80267 90739 146803 199089 227243 240801 272217 440409 532681 681729 722403 816651 824561 1321227 1598043 1614833 2045187 2473683 2499673 4794129 4844499 5859491 7421049 7499019 9070171 14533497 14674267 16588739 17578473 22497057 27210513 44022801 49766217 52735419 60192953 81631539 132068403 149298651 161416937 180578859 182476129 484250811 541736577 547428387 662122483 1071221491 1452752433 1642285161 1658192171 1986367449 3213664473 4974576513 5959102347 9640993419 11783436401 14923729539 18240113881 35350309203 54720341643 106050927609 121048028483 164161024929 363144085449 1089432256347 1331528313313 3994584939939 11983754819817