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52729018384 = 24725921392
BaseRepresentation
bin110001000110111001…
…001111100000010000
312001002202221200001211
4301012321033200100
51330442112042014
640120125505504
73544450155400
oct610671174020
9161082850054
1052729018384
11203a9179a49
12a276a12294
134c842766c3
1427a2d58800
15158925ccc4
hexc46e4f810

52729018384 has 135 divisors (see below), whose sum is σ = 121766445567. Its totient is φ = 22055310144.

The previous prime is 52729018373. The next prime is 52729018427. The reversal of 52729018384 is 48381092725.

The square root of 52729018384 is 229628.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 379345387 + ... + 379345525.

Almost surely, 252729018384 is an apocalyptic number.

52729018384 is the 229628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52729018384

52729018384 is an abundant number, since it is smaller than the sum of its proper divisors (69037427183).

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

52729018384 is an equidigital number, since it uses as much as digits as its factorization.

52729018384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 52729018384 by its sum of digits (49), we get a square (2583721900816 = 16073962).

52729018384 divided by its sum of digits (49) gives a square (1076102416 = 328042).

The spelling of 52729018384 in words is "fifty-two billion, seven hundred twenty-nine million, eighteen thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 139 196 236 278 392 413 472 556 784 826 944 973 1112 1652 1946 2224 2891 3304 3481 3892 5782 6608 6811 6962 7784 8201 11564 13622 13924 15568 16402 19321 23128 24367 27244 27848 32804 38642 46256 48734 54488 55696 57407 65608 77284 97468 108976 114814 131216 135247 154568 170569 194936 229628 270494 309136 341138 389872 401849 459256 483859 540988 682276 803698 918512 946729 967718 1081976 1139939 1364552 1607396 1893458 1935436 2163952 2279878 2729104 3214792 3387013 3786916 3870872 4559756 6429584 6774026 7573832 7741744 7979573 9119512 13548052 15147664 15959146 18239024 23709091 27096104 31918292 47418182 54192208 55857011 63836584 67256401 94836364 111714022 127673168 134512802 189672728 223428044 269025604 379345456 446856088 470794807 538051208 893712176 941589614 1076102416 1883179228 3295563649 3766358456 6591127298 7532716912 13182254596 26364509192 52729018384