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12145525802179 = 7112313071506721
BaseRepresentation
bin1011000010111101100111…
…0000000100010011000011
31121000002201120112211002121
42300233121300010103003
53042443014101132204
641455324425025111
72362325310636160
oct260573160042303
947002646484077
1012145525802179
113962985755a00
121441a74025197
136a141a02a8c3
142ddbbd05d067
15160dedd0bb54
hexb0bd9c044c3

12145525802179 has 48 divisors (see below), whose sum is σ = 15800668162048. Its totient is φ = 9128915136000.

The previous prime is 12145525802161. The next prime is 12145525802209. The reversal of 12145525802179 is 97120852554121.

It is not a de Polignac number, because 12145525802179 - 27 = 12145525802051 is a prime.

It is a super-3 number, since 3×121455258021793 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12145525802149) 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 47 ways as a sum of consecutive naturals, for example, 7307539 + ... + 8814259.

Almost surely, 212145525802179 is an apocalyptic number.

12145525802179 is a deficient number, since it is larger than the sum of its proper divisors (3655142359869).

12145525802179 is a wasteful number, since it uses less digits than its factorization.

12145525802179 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507088 (or 1507077 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 52.

The spelling of 12145525802179 in words is "twelve trillion, one hundred forty-five billion, five hundred twenty-five million, eight hundred two thousand, one hundred seventy-nine".

Divisors: 1 7 11 31 77 121 217 307 341 847 2149 2387 3377 3751 9517 23639 26257 37147 66619 104687 260029 732809 1151557 1506721 8060899 10547047 16573931 46708351 116017517 182313241 326958457 462563347 513791861 1276192687 3237943429 3596543027 5088196817 5651710471 14339463757 35617377719 39561973297 55970164987 100376246299 157734101327 391791154909 1104138709289 1735075114597 12145525802179