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5451505373664 = 25337192337107521
BaseRepresentation
bin100111101010100011100…
…0010101001000111100000
3201022011021210010120111000
41033111013002221013200
51203304140333424124
615332215331352000
71101600246054330
oct117250702510740
921264253116430
105451505373664
111811a74732479
12740656152600
133070c82c646c
1414bbd617b0c0
1596c15c1b6c9
hex4f5470a91e0

5451505373664 has 1536 divisors, whose sum is σ = 20730492518400. Its totient is φ = 1357846364160.

The previous prime is 5451505373621. The next prime is 5451505373669. The reversal of 5451505373664 is 4663735051545.

5451505373664 is a `hidden beast` number, since 5 + 4 + 5 + 1 + 505 + 3 + 73 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5451505373664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5451505373669) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 10463541724 + ... + 10463542244.

It is an arithmetic number, because the mean of its divisors is an integer number (13496414400).

Almost surely, 25451505373664 is an apocalyptic number.

5451505373664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5451505373664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10365246259200).

5451505373664 is an abundant number, since it is smaller than the sum of its proper divisors (15278987144736).

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

5451505373664 is a wasteful number, since it uses less digits than its factorization.

5451505373664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 5451505373664 in words is "five trillion, four hundred fifty-one billion, five hundred five million, three hundred seventy-three thousand, six hundred sixty-four".