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54080330768 = 2429823141619
BaseRepresentation
bin110010010111011100…
…000101110000010000
312011120221200110011122
4302113130011300100
51341224031041033
640502201101412
73623106140552
oct622734056020
9164527613148
1054080330768
1120a31a33a42
12a593487868
13513b209229
1428905d54d2
151617bd6a98
hexc97705c10

54080330768 has 40 divisors (see below), whose sum is σ = 108526238400. Its totient is φ = 26075839104.

The previous prime is 54080330761. The next prime is 54080330789. The reversal of 54080330768 is 86703308045.

It is a super-3 number, since 3×540803307683 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (54080330761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311063 + ... + 452681.

It is an arithmetic number, because the mean of its divisors is an integer number (2713155960).

Almost surely, 254080330768 is an apocalyptic number.

54080330768 is a gapful number since it is divisible by the number (58) 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 54080330768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54263119200).

54080330768 is an abundant number, since it is smaller than the sum of its proper divisors (54445907632).

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

54080330768 is a wasteful number, since it uses less digits than its factorization.

54080330768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142479 (or 142473 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 54080330768 in words is "fifty-four billion, eighty million, three hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 823 1646 3292 6584 13168 23867 47734 95468 141619 190936 283238 381872 566476 1132952 2265904 4106951 8213902 16427804 32855608 65711216 116552437 233104874 466209748 932419496 1864838992 3380020673 6760041346 13520082692 27040165384 54080330768