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54383838345 = 33510135311299
BaseRepresentation
bin110010101001100001…
…111000010010001001
312012101002210020022000
4302221201320102021
51342334230311340
640552242221213
73633452666364
oct625141702211
9165332706260
1054383838345
1121078293751
12a659054809
135189064705
1428bca3d0db
151634689d30
hexca9878489

54383838345 has 64 divisors (see below), whose sum is σ = 97924896000. Its totient is φ = 28633651200.

The previous prime is 54383838329. The next prime is 54383838349.

It is a happy number.

54383838345 is a `hidden beast` number, since 543 + 8 + 38 + 38 + 34 + 5 = 666.

54383838345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54383838345 - 24 = 54383838329 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 54383838291 and 54383838300.

It is not an unprimeable number, because it can be changed into a prime (54383838349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4807506 + ... + 4818804.

It is an arithmetic number, because the mean of its divisors is an integer number (1530076500).

Almost surely, 254383838345 is an apocalyptic number.

It is an amenable number.

54383838345 is a deficient number, since it is larger than the sum of its proper divisors (43541057655).

54383838345 is a wasteful number, since it uses less digits than its factorization.

54383838345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11767 (or 11761 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 54383838345 in words is "fifty-four billion, three hundred eighty-three million, eight hundred thirty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 101 135 303 353 505 909 1059 1515 1765 2727 3177 4545 5295 9531 11299 13635 15885 33897 35653 47655 56495 101691 106959 169485 178265 305073 320877 508455 534795 962631 1141199 1525365 1604385 3423597 3988547 4813155 5705995 10270791 11965641 17117985 19942735 30812373 35896923 51353955 59828205 107690769 154061865 179484615 402843247 538453845 1208529741 2014216235 3625589223 6042648705 10876767669 18127946115 54383838345