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52179808041 = 3417214932
BaseRepresentation
bin110000100110001010…
…001010111100101001
311222200111111220010000
4300212022022330221
51323331012324131
635545430213213
73525031023144
oct604612127451
9158614456100
1052179808041
11201471610a9
12a142ab4209
134bc755177a
14275003305b
151555e23ce6
hexc2628af29

52179808041 has 45 divisors (see below), whose sum is σ = 82857980821. Its totient is φ = 32718342528.

The previous prime is 52179808039. The next prime is 52179808049. The reversal of 52179808041 is 14080897125.

The square root of 52179808041 is 228429.

It is a perfect power (a square), and thus also a powerful number.

52179808041 is a `hidden beast` number, since 521 + 7 + 9 + 8 + 0 + 80 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22506300441 + 29673507600 = 150021^2 + 172260^2 .

It is not a de Polignac number, because 52179808041 - 21 = 52179808039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52179808049) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34948891 + ... + 34950383.

Almost surely, 252179808041 is an apocalyptic number.

52179808041 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

52179808041 is the 228429-th square number.

52179808041 is the 114215-th centered octagonal number.

It is an amenable number.

52179808041 is a deficient number, since it is larger than the sum of its proper divisors (30678172780).

52179808041 is an frugal number, since it uses more digits than its factorization.

52179808041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 52179808041 in words is "fifty-two billion, one hundred seventy-nine million, eight hundred eight thousand, forty-one".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 1493 2601 4479 7803 13437 23409 25381 40311 76143 120933 228429 431477 685287 1294431 2055861 2229049 3883293 6687147 11649879 20061441 34949637 37893833 60184323 113681499 180552969 341044497 644195161 1023133491 1932585483 3069400473 5797756449 17393269347 52179808041