Search a number
-
+
54443433434445 = 3351136662244737
BaseRepresentation
bin11000110000100000110011…
…00000101001110101001101
321010202202000111002102012000
430120100121200221311031
524114000122424400240
6311442545032502513
714316260014425066
oct1430203140516515
9233682014072160
1054443433434445
111639036a922220
12613360384aa39
13244bcbc3403c3
14d6310d2a956d
156462ea659430
hex318419829d4d

54443433434445 has 32 divisors (see below), whose sum is σ = 105587264845440. Its totient is φ = 26396816209920.

The previous prime is 54443433434393. The next prime is 54443433434497.

54443433434445 is a `hidden beast` number, since 54 + 4 + 43 + 433 + 43 + 44 + 45 = 666.

54443433434445 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54443433434393) and next prime (54443433434497).

It is not a de Polignac number, because 54443433434445 - 218 = 54443433172301 is a prime.

It is a super-2 number, since 2×544434334344452 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54443433434391 and 54443433434400.

It is a congruent number.

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, 18331120884 + ... + 18331123853.

It is an arithmetic number, because the mean of its divisors is an integer number (3299602026420).

Almost surely, 254443433434445 is an apocalyptic number.

54443433434445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54443433434445 is a deficient number, since it is larger than the sum of its proper divisors (51143831410995).

54443433434445 is a wasteful number, since it uses less digits than its factorization.

54443433434445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36662244762 (or 36662244756 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 54.

It can be divided in two parts, 5444343 and 3434445, that added together give a palindrome (8878788).

The spelling of 54443433434445 in words is "fifty-four trillion, four hundred forty-three billion, four hundred thirty-three million, four hundred thirty-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 36662244737 109986734211 183311223685 329960202633 403284692107 549933671055 989880607899 1209854076321 1649801013165 2016423460535 3629562228963 4949403039495 6049270381605 10888686686889 18147811144815 54443433434445