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54458749336832 = 281072517920821
BaseRepresentation
bin11000110000111101010100…
…11010001011110100000000
321010211012112212122212110222
430120132222122023310000
524114223004312234312
6311454000513442212
714320341401435531
oct1430365232136400
9233735485585428
1054458749336832
111639690a29a395
126136578b70368
132450590464539
14d63b63442688
156468e506e672
hex3187aa68bd00

54458749336832 has 72 divisors (see below), whose sum is σ = 110157849783072. Its totient is φ = 26867421440000.

The previous prime is 54458749336813. The next prime is 54458749336913. The reversal of 54458749336832 is 23863394785445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2914982 + ... + 10835802.

It is an arithmetic number, because the mean of its divisors is an integer number (1529970135876).

Almost surely, 254458749336832 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 54458749336832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55078924891536).

54458749336832 is an abundant number, since it is smaller than the sum of its proper divisors (55699100446240).

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

54458749336832 is a wasteful number, since it uses less digits than its factorization.

54458749336832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7921195 (or 7921181 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 71.

The spelling of 54458749336832 in words is "fifty-four trillion, four hundred fifty-eight billion, seven hundred forty-nine million, three hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 251 256 428 502 856 1004 1712 2008 3424 4016 6848 8032 13696 16064 26857 27392 32128 53714 64256 107428 214856 429712 859424 1718848 3437696 6875392 7920821 15841642 31683284 63366568 126733136 253466272 506932544 847527847 1013865088 1695055694 1988126071 2027730176 3390111388 3976252142 6780222776 7952504284 13560445552 15905008568 27120891104 31810017136 54241782208 63620034272 108483564416 127240068544 212729489597 216967128832 254480137088 425458979194 508960274176 850917958388 1701835916776 3403671833552 6807343667104 13614687334208 27229374668416 54458749336832