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54591000440 = 23517367218749
BaseRepresentation
bin110010110101111000…
…001000111101111000
312012220112121011021012
4302311320020331320
51343300244003230
641025002333052
73641546563454
oct626570107570
9165815534235
1054591000440
1121174218699
12a6b64ba188
1351bcc58932
1428dc367664
15164795b395
hexcb5e08f78

54591000440 has 64 divisors (see below), whose sum is σ = 130410000000. Its totient is φ = 20495812608.

The previous prime is 54591000437. The next prime is 54591000461. The reversal of 54591000440 is 4400019545.

It is a junction number, because it is equal to n+sod(n) for n = 54591000397 and 54591000406.

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 15 ways as a sum of consecutive naturals, for example, 140186 + ... + 358934.

It is an arithmetic number, because the mean of its divisors is an integer number (2037656250).

Almost surely, 254591000440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54591000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65205000000).

54591000440 is an abundant number, since it is smaller than the sum of its proper divisors (75818999560).

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

54591000440 is a wasteful number, since it uses less digits than its factorization.

54591000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219144 (or 219140 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 54591000440 its reverse (4400019545), we get a palindrome (58991019985).

The spelling of 54591000440 in words is "fifty-four billion, five hundred ninety-one million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 367 680 734 1468 1835 2936 3670 6239 7340 12478 14680 24956 31195 49912 62390 124780 218749 249560 437498 874996 1093745 1749992 2187490 3718733 4374980 7437466 8749960 14874932 18593665 29749864 37187330 74374660 80280883 148749320 160561766 321123532 401404415 642247064 802808830 1364775011 1605617660 2729550022 3211235320 5459100044 6823875055 10918200088 13647750110 27295500220 54591000440