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54136633663145 = 5117199679141439
BaseRepresentation
bin11000100111100101010101…
…10100011001111010101001
321002200102010002012012210102
430103302222310121322221
524043433311204210040
6311050005352555145
714255146151412335
oct1423625264317251
9232612102165712
1054136633663145
1116282243400120
1260a40610b2ab5
1324290a7842ca7
14d5232704c7c5
1563d341033515
hex313caad19ea9

54136633663145 has 32 divisors (see below), whose sum is σ = 70976176128000. Its totient is φ = 39312997606080.

The previous prime is 54136633663127. The next prime is 54136633663201.

54136633663145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54136633663145 - 234 = 54119453793961 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382685336 + ... + 382826774.

It is an arithmetic number, because the mean of its divisors is an integer number (2218005504000).

Almost surely, 254136633663145 is an apocalyptic number.

54136633663145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54136633663145 is a deficient number, since it is larger than the sum of its proper divisors (16839542464855).

54136633663145 is a wasteful number, since it uses less digits than its factorization.

54136633663145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151853.

The product of its digits is 41990400, while the sum is 56.

The spelling of 54136633663145 in words is "fifty-four trillion, one hundred thirty-six billion, six hundred thirty-three million, six hundred sixty-three thousand, one hundred forty-five".

Divisors: 1 5 11 55 719 3595 7909 9679 39545 48395 106469 141439 532345 707195 1555829 6959201 7779145 34796005 76551211 101694641 382756055 508473205 1118641051 1368988081 5593205255 6844940405 15058868891 75294344455 984302430239 4921512151195 10827326732629 54136633663145