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54532325344 = 257834216967
BaseRepresentation
bin110010110010011000…
…010011111111100000
312012202110012011011111
4302302120103333200
51343140233402334
641015104553104
73640235055160
oct626230237740
9165673164144
1054532325344
1121144092182
12a69a922794
1351b0a53a43
1428d46525a0
15164271b064
hexcb2613fe0

54532325344 has 96 divisors (see below), whose sum is σ = 124488838656. Its totient is φ = 23031267840.

The previous prime is 54532325329. The next prime is 54532325381. The reversal of 54532325344 is 44352323545.

54532325344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54532325297 and 54532325306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7823749 + ... + 7830715.

It is an arithmetic number, because the mean of its divisors is an integer number (1296758736).

Almost surely, 254532325344 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 54532325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62244419328).

54532325344 is an abundant number, since it is smaller than the sum of its proper divisors (69956513312).

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

54532325344 is a wasteful number, since it uses less digits than its factorization.

54532325344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7488 (or 7480 counting only the distinct ones).

The product of its digits is 864000, while the sum is 40.

Adding to 54532325344 its reverse (44352323545), we get a palindrome (98884648889).

The spelling of 54532325344 in words is "fifty-four billion, five hundred thirty-two million, three hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 421 581 664 842 1162 1328 1684 2324 2656 2947 3368 4648 5894 6736 6967 9296 11788 13472 13934 18592 23576 27868 34943 47152 48769 55736 69886 94304 97538 111472 139772 195076 222944 244601 279544 390152 489202 559088 578261 780304 978404 1118176 1156522 1560608 1956808 2313044 2933107 3913616 4047827 4626088 5866214 7827232 8095654 9252176 11732428 16191308 18504352 20531749 23464856 32382616 41063498 46929712 64765232 82126996 93859424 129530464 164253992 243447881 328507984 486895762 657015968 973791524 1704135167 1947583048 3408270334 3895166096 6816540668 7790332192 13633081336 27266162672 54532325344