Search a number
-
+
54106031400610 = 25719316712845351
BaseRepresentation
bin11000100110101100010101…
…10010000010011010100010
321002120111010100122012112111
430103112022302002122202
524042433123014304420
6311023545004145534
714253013616442130
oct1423261262023242
9232514110565474
1054106031400610
111627026a203362
12609a1405382aa
13242623b76c537
14d50a62a2c750
1563c64e5e145a
hex31358ac826a2

54106031400610 has 64 divisors (see below), whose sum is σ = 117198936391680. Its totient is φ = 17568739339200.

The previous prime is 54106031400607. The next prime is 54106031400689. The reversal of 54106031400610 is 1600413060145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2210566 + ... + 10634785.

It is an arithmetic number, because the mean of its divisors is an integer number (1831233381120).

Almost surely, 254106031400610 is an apocalyptic number.

54106031400610 is an abundant number, since it is smaller than the sum of its proper divisors (63092904991070).

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

54106031400610 is a wasteful number, since it uses less digits than its factorization.

54106031400610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12848551.

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 54106031400610 its reverse (1600413060145), we get a palindrome (55706444460755).

The spelling of 54106031400610 in words is "fifty-four trillion, one hundred six billion, thirty-one million, four hundred thousand, six hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1330 3167 6334 15835 22169 31670 44338 60173 110845 120346 221690 300865 421211 601730 842422 2106055 4212110 12845351 25690702 64226755 89917457 128453510 179834914 244061669 449587285 488123338 899174570 1220308345 1708431683 2440616690 3416863366 8542158415 17084316830 40681226617 81362453234 203406133085 284768586319 406812266170 569537172638 772943305723 1423842931595 1545886611446 2847685863190 3864716528615 5410603140061 7729433057230 10821206280122 27053015700305 54106031400610