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53282340865 = 51317193433577
BaseRepresentation
bin110001100111111000…
…000000000000000001
312002112100010100211001
4301213320000000001
51333110234401430
640251053252001
73564246265435
oct614770000001
9162470110731
1053282340865
1120662546356
12a3b0194001
135041aab260
1428166309c5
1515bcb0a3ca
hexc67e00001

53282340865 has 64 divisors (see below), whose sum is σ = 73581915456. Its totient is φ = 36691771392.

The previous prime is 53282340823. The next prime is 53282340887. The reversal of 53282340865 is 56804328235.

It can be written as a sum of positive squares in 32 ways, for example, as 33222717441 + 20059623424 = 182271^2 + 141632^2 .

It is a 3-Lehmer number, since φ(53282340865) divides (53282340865-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 53282340865 - 221 = 53280243713 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92343457 + ... + 92344033.

It is an arithmetic number, because the mean of its divisors is an integer number (1149717429).

It is a Proth number, since it is equal to 25407 ⋅ 221 + 1 and 25407 < 221.

It is a Poulet number, since it divides 253282340864-1.

Almost surely, 253282340865 is an apocalyptic number.

It is an amenable number.

53282340865 is a deficient number, since it is larger than the sum of its proper divisors (20299574591).

53282340865 is a wasteful number, since it uses less digits than its factorization.

53282340865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238.

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 53282340865 in words is "fifty-three billion, two hundred eighty-two million, three hundred forty thousand, eight hundred sixty-five".

Divisors: 1 5 13 17 65 85 193 221 433 577 965 1105 2165 2509 2885 3281 5629 7361 7501 9809 12545 16405 28145 36805 37505 42653 49045 83569 95693 111361 127517 213265 249841 417845 478465 556805 637585 1086397 1249205 1420673 1447693 1893137 3247933 4247297 5431985 7103365 7238465 9465685 16239665 18468749 21236485 24610781 48219313 55214861 92343745 123053905 241096565 276074305 626851069 819728321 3134255345 4098641605 10656468173 53282340865