Search a number
-
+
54113561362146 = 231113369717059621
BaseRepresentation
bin11000100110111010010111…
…00110100011111011100010
321002121012120010120212212210
430103131023212203323202
524043044033202042041
6311031232113302550
714253401332163556
oct1423351346437342
9232535503525783
1054113561362146
1116273483718970
12609b6a2264a56
132426b6b7bab90
14d51178add866
1563c9406e1016
hex31374b9a3ee2

54113561362146 has 64 divisors (see below), whose sum is σ = 127182348026496. Its totient is φ = 15132565324800.

The previous prime is 54113561362123. The next prime is 54113561362151. The reversal of 54113561362146 is 64126316531145.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54113561362095 and 54113561362104.

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, 5357785 + ... + 11701836.

It is an arithmetic number, because the mean of its divisors is an integer number (1987224187914).

Almost surely, 254113561362146 is an apocalyptic number.

54113561362146 is an abundant number, since it is smaller than the sum of its proper divisors (73068786664350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54113561362146 is a wasteful number, since it uses less digits than its factorization.

54113561362146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17063347.

The product of its digits is 1555200, while the sum is 48.

The spelling of 54113561362146 in words is "fifty-four trillion, one hundred thirteen billion, five hundred sixty-one million, three hundred sixty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 3697 7394 11091 22182 40667 48061 81334 96122 122001 144183 244002 288366 528671 1057342 1586013 3172026 17059621 34119242 51178863 102357726 187655831 221775073 375311662 443550146 562967493 665325219 1125934986 1330650438 2439525803 4879051606 7318577409 14637154818 63069418837 126138837674 189208256511 378416513022 693763607207 819902444881 1387527214414 1639804889762 2081290821621 2459707334643 4162581643242 4919414669286 9018926893691 18037853787382 27056780681073 54113561362146