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54514332224 = 2611435773121
BaseRepresentation
bin110010110001010011…
…101011001001000000
312012201012100000020122
4302301103223021000
51343121132112344
641013223155412
73636626115122
oct626123531100
9165635300218
1054514332224
1121134a12730
12a6948a5b68
1351aa0c3c21
1428d20cb212
151640d64aee
hexcb14eb240

54514332224 has 112 divisors (see below), whose sum is σ = 121003624896. Its totient is φ = 24153292800.

The previous prime is 54514332217. The next prime is 54514332227. The reversal of 54514332224 is 42223341545.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (54514332227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17465384 + ... + 17468504.

It is an arithmetic number, because the mean of its divisors is an integer number (1080389508).

Almost surely, 254514332224 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 54514332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60501812448).

54514332224 is an abundant number, since it is smaller than the sum of its proper divisors (66489292672).

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

54514332224 is a wasteful number, since it uses less digits than its factorization.

54514332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3754 counting only the distinct ones).

The product of its digits is 115200, while the sum is 35.

Adding to 54514332224 its reverse (42223341545), we get a palindrome (96737673769).

The spelling of 54514332224 in words is "fifty-four billion, five hundred fourteen million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 577 688 704 946 1154 1376 1892 2308 2752 3121 3784 4616 6242 6347 7568 9232 12484 12694 15136 18464 24811 24968 25388 30272 34331 36928 49622 49936 50776 68662 99244 99872 101552 134203 137324 198488 199744 203104 268406 272921 274648 396976 406208 536812 545842 549296 793952 1073624 1091684 1098592 1476233 1587904 1800817 2147248 2183368 2197184 2952466 3601634 4294496 4366736 5904932 7203268 8588992 8733472 11809864 14406536 17466944 19808987 23619728 28813072 39617974 47239456 57626144 77435131 79235948 94478912 115252288 154870262 158471896 309740524 316943792 619481048 633887584 851786441 1238962096 1267775168 1703572882 2477924192 3407145764 4955848384 6814291528 13628583056 27257166112 54514332224