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54744442304 = 2617223312703
BaseRepresentation
bin110010111111000001…
…011110010111000000
312020022020022210221012
4302333001132113000
51344104034123204
641052123220052
73645422040026
oct627701362700
9166266283835
1054744442304
11212428a0852
12a739977628
135215991336
1429148aa716
15165616a76e
hexcbf05e5c0

54744442304 has 84 divisors (see below), whose sum is σ = 115904003904. Its totient is φ = 25649504256.

The previous prime is 54744442301. The next prime is 54744442307. The reversal of 54744442304 is 40324444745.

54744442304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54744442301) and next prime (54744442307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54744442301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4303217 + ... + 4315919.

Almost surely, 254744442304 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 54744442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57952001952).

54744442304 is an abundant number, since it is smaller than the sum of its proper divisors (61159561600).

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

54744442304 is a wasteful number, since it uses less digits than its factorization.

54744442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12982 (or 12955 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 41.

The spelling of 54744442304 in words is "fifty-four billion, seven hundred forty-four million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 233 272 289 466 544 578 932 1088 1156 1864 2312 3728 3961 4624 7456 7922 9248 12703 14912 15844 18496 25406 31688 50812 63376 67337 101624 126752 134674 203248 215951 253504 269348 406496 431902 538696 812992 863804 1077392 1727608 2154784 2959799 3455216 3671167 4309568 5919598 6910432 7342334 11839196 13820864 14684668 23678392 29369336 47356784 50316583 58738672 94713568 100633166 117477344 189427136 201266332 234954688 402532664 805065328 855381911 1610130656 1710763822 3220261312 3421527644 6843055288 13686110576 27372221152 54744442304