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54373378760 = 23531891313761
BaseRepresentation
bin110010101000111001…
…111110101011001000
312012100101002211102222
4302220321332223020
51342324041110020
640551230113212
73633265044101
oct625071765310
9165311084388
1054373378760
112107239a268
12a65564b808
135186b418cc
1428bb4b93a8
1516337c0b25
hexca8e7eac8

54373378760 has 128 divisors (see below), whose sum is σ = 128714572800. Its totient is φ = 20646912000.

The previous prime is 54373378739. The next prime is 54373378817. The reversal of 54373378760 is 6787337345.

It is a Cunningham number, because it is equal to 2331812-1.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14455280 + ... + 14459040.

It is an arithmetic number, because the mean of its divisors is an integer number (1005582600).

Almost surely, 254373378760 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 54373378760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64357286400).

54373378760 is an abundant number, since it is smaller than the sum of its proper divisors (74341194040).

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

54373378760 is a wasteful number, since it uses less digits than its factorization.

With its successor (54373378761) it forms an eRAP, since the sums of their prime factors are consecutive (4023 and 4024).

54373378760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 53.

The spelling of 54373378760 in words is "fifty-four billion, three hundred seventy-three million, three hundred seventy-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 89 124 131 155 178 248 262 310 356 445 524 620 655 712 890 1048 1240 1310 1780 2620 2759 3560 3761 4061 5240 5518 7522 8122 11036 11659 13795 15044 16244 18805 20305 22072 23318 27590 30088 32488 37610 40610 46636 55180 58295 75220 81220 93272 110360 116590 116591 150440 162440 233180 233182 334729 361429 466360 466364 492691 582955 669458 722858 932728 985382 1165910 1338916 1445716 1673645 1807145 1970764 2331820 2463455 2677832 2891432 3347290 3614290 3941528 4663640 4926910 6694580 7228580 9853820 10376599 13389160 14457160 15273421 19707640 20753198 30546842 41506396 43849499 51882995 61093684 76367105 83012792 87698998 103765990 122187368 152734210 175397996 207531980 219247495 305468420 350795992 415063960 438494990 610936840 876989980 1359334469 1753979960 2718668938 5437337876 6796672345 10874675752 13593344690 27186689380 54373378760