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54288794240 = 2751918612399
BaseRepresentation
bin110010100011110111…
…010100001010000000
312012010110221111021222
4302203313110022000
51342140412403430
640535005134212
73631220065022
oct624367241200
9165113844258
1054288794240
11210296776aa
12a63125a368
1351724678b5
1428b017c012
15162b1639e5
hexca3dd4280

54288794240 has 128 divisors (see below), whose sum is σ = 136745280000. Its totient is φ = 20552970240.

The previous prime is 54288794239. The next prime is 54288794243. The reversal of 54288794240 is 4249788245.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (54288794243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22628561 + ... + 22630959.

It is an arithmetic number, because the mean of its divisors is an integer number (1068322500).

Almost surely, 254288794240 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 54288794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68372640000).

54288794240 is an abundant number, since it is smaller than the sum of its proper divisors (82456485760).

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

54288794240 is a wasteful number, since it uses less digits than its factorization.

54288794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 53.

The spelling of 54288794240 in words is "fifty-four billion, two hundred eighty-eight million, seven hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 1861 2399 2432 3040 3722 4798 6080 7444 9305 9596 11995 12160 14888 18610 19192 23990 29776 35359 37220 38384 45581 47980 59552 70718 74440 76768 91162 95960 119104 141436 148880 153536 176795 182324 191920 227905 238208 282872 297760 307072 353590 364648 383840 455810 565744 595520 707180 729296 767680 911620 1131488 1191040 1414360 1458592 1535360 1823240 2262976 2828720 2917184 3646480 4464539 4525952 5657440 5834368 7292960 8929078 11314880 14585920 17858156 22322695 22629760 29171840 35716312 44645390 71432624 84826241 89290780 142865248 169652482 178581560 285730496 339304964 357163120 424131205 571460992 678609928 714326240 848262410 1357219856 1428652480 1696524820 2714439712 2857304960 3393049640 5428879424 6786099280 10857758848 13572198560 27144397120 54288794240