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54323555532345 = 3351197737442701
BaseRepresentation
bin11000101101000001100000…
…01110101111111000111001
321010100021120222200000112000
430112200300032233320321
524110014120204013340
6311311521421211213
714304514230162201
oct1426406016577071
9233307528600460
1054323555532345
1116344543982060
126114328a00b09
1324408c6535b18
14d5b3ba267401
15643131270d30
hex3168303afe39

54323555532345 has 64 divisors (see below), whose sum is σ = 105462612161280. Its totient is φ = 26311734144000.

The previous prime is 54323555532343. The next prime is 54323555532383.

It is a happy number.

54323555532345 is a `hidden beast` number, since 5 + 4 + 3 + 2 + 3 + 55 + 553 + 2 + 34 + 5 = 666.

54323555532345 is nontrivially palindromic in base 10.

54323555532345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54323555532345 - 21 = 54323555532343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54323555532291 and 54323555532300.

It is not an unprimeable number, because it can be changed into a prime (54323555532343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17270506 + ... + 20172195.

It is an arithmetic number, because the mean of its divisors is an integer number (1647853315020).

Almost surely, 254323555532345 is an apocalyptic number.

54323555532345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54323555532345 is a deficient number, since it is larger than the sum of its proper divisors (51139056628935).

54323555532345 is a wasteful number, since it uses less digits than its factorization.

54323555532345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37443703 (or 37443697 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 54.

The spelling of 54323555532345 in words is "fifty-four trillion, three hundred twenty-three billion, five hundred fifty-five million, five hundred thirty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 977 1485 2931 4885 8793 10747 14655 26379 32241 43965 53735 96723 131895 161205 290169 483615 1450845 37442701 112328103 187213505 336984309 411869711 561640515 1010952927 1235609133 1684921545 2059348555 3706827399 5054764635 6178045665 11120482197 18534136995 36581518877 55602410985 109744556631 182907594385 329233669893 402396707647 548722783155 987701009679 1207190122941 1646168349465 2011983538235 3621570368823 4938505048395 6035950614705 10864711106469 18107851844115 54323555532345