Search a number
-
+
54423033032445 = 35711203657231367
BaseRepresentation
bin11000101111111010110011…
…00011010010111011111101
321010200210100202010121122120
430113331121203102323331
524113131332424014240
6311425332441233153
714314635331033320
oct1427753143227375
9233623322117576
1054423033032445
1116382751383260
12612b66b7927b9
13244a0baa1320c
14d62135b567b7
15645a0469aad0
hex317f598d2efd

54423033032445 has 64 divisors (see below), whose sum is σ = 108564351307776. Its totient is φ = 22617155566080.

The previous prime is 54423033032443. The next prime is 54423033032447.

54423033032445 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54423033032443) and next prime (54423033032447).

It is not a de Polignac number, because 54423033032445 - 21 = 54423033032443 is a prime.

It is a super-2 number, since 2×544230330324452 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54423033032397 and 54423033032406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54423033032443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235108152 + ... + 235339518.

It is an arithmetic number, because the mean of its divisors is an integer number (1696317989184).

Almost surely, 254423033032445 is an apocalyptic number.

54423033032445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54423033032445 is a deficient number, since it is larger than the sum of its proper divisors (54141318275331).

54423033032445 is a wasteful number, since it uses less digits than its factorization.

54423033032445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435050.

The product of its (nonzero) digits is 2073600, while the sum is 42.

It can be divided in two parts, 5442303 and 3032445, that added together give a palindrome (8474748).

The spelling of 54423033032445 in words is "fifty-four trillion, four hundred twenty-three billion, thirty-three million, thirty-two thousand, four hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 203657 231367 610971 694101 1018285 1156835 1425599 1619569 2240227 2545037 3054855 3470505 4276797 4858707 6720681 7127995 7635111 8097845 11201135 12725185 15681589 17815259 21383985 24293535 33603405 38175555 47044767 53445777 78407945 89076295 235223835 267228885 47119509119 141358527357 235597545595 329836563833 518314600309 706792636785 989509691499 1554943800927 1649182819165 2591573001545 3628202202163 4947548457495 7774719004635 10884606606489 18141011010815 54423033032445