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52134044043125 = 541121740551517
BaseRepresentation
bin10111101101010011001110…
…01011010000011101110101
320211120222002011112000222202
423312221213023100131311
523313131010233340000
6302514014343234245
713660363132454552
oct1366514713203565
9224528064460882
1052134044043125
111567aa18804500
125a1bb15a48985
1323122b09314a5
14cc343069da29
156061d5a25dd5
hex2f6a672d0775

52134044043125 has 60 divisors (see below), whose sum is σ = 75819740925852. Its totient is φ = 35685334080000.

The previous prime is 52134044043089. The next prime is 52134044043131.

52134044043125 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 10 ways, for example, as 36244939222129 + 15889104820996 = 6020377^2 + 3986114^2 .

It is not a de Polignac number, because 52134044043125 - 236 = 52065324566389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18990134 + ... + 21561383.

Almost surely, 252134044043125 is an apocalyptic number.

52134044043125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52134044043125 is a deficient number, since it is larger than the sum of its proper divisors (23685696882727).

52134044043125 is a wasteful number, since it uses less digits than its factorization.

52134044043125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40551576 (or 40551550 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 5213404 and 4043125, that added together give a palindrome (9256529).

The spelling of 52134044043125 in words is "fifty-two trillion, one hundred thirty-four billion, forty-four million, forty-three thousand, one hundred twenty-five".

Divisors: 1 5 11 17 25 55 85 121 125 187 275 425 605 625 935 1375 2057 2125 3025 4675 6875 10285 10625 15125 23375 51425 75625 116875 257125 1285625 40551517 202757585 446066687 689375789 1013787925 2230333435 3446878945 4906733557 5068939625 7583133679 11151667175 17234394725 24533667785 25344698125 37915668395 55758335875 83414470469 86171973625 122668338925 189578341975 278791679375 417072352345 430859868125 613341694625 947891709875 2085361761725 3066708473125 4739458549375 10426808808625 52134044043125