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52762216448 = 211416110301
BaseRepresentation
bin110001001000110111…
…111000100000000000
312001012002102022020202
4301020313320200000
51331024111411243
640123313224332
73545332303634
oct611067704000
9161162368222
1052762216448
1120415994167
12a285b620a8
134c8b0cb226
1427a751adc4
15158c1194b8
hexc48df8800

52762216448 has 96 divisors (see below), whose sum is σ = 109854140760. Its totient is φ = 25313280000.

The previous prime is 52762216433. The next prime is 52762216457. The reversal of 52762216448 is 84461226725.

It can be written as a sum of positive squares in 4 ways, for example, as 31758091264 + 21004125184 = 178208^2 + 144928^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5116898 + ... + 5127198.

Almost surely, 252762216448 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 52762216448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54927070380).

52762216448 is an abundant number, since it is smaller than the sum of its proper divisors (57091924312).

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

52762216448 is a wasteful number, since it uses less digits than its factorization.

52762216448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425 (or 10405 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 47.

The spelling of 52762216448 in words is "fifty-two billion, seven hundred sixty-two million, two hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 61 64 82 122 128 164 244 256 328 488 512 656 976 1024 1312 1952 2048 2501 2624 3904 5002 5248 7808 10004 10301 10496 15616 20008 20602 20992 31232 40016 41204 41984 62464 80032 82408 83968 124928 160064 164816 320128 329632 422341 628361 640256 659264 844682 1256722 1280512 1318528 1689364 2513444 2561024 2637056 3378728 5026888 5122048 5274112 6757456 10053776 10548224 13514912 20107552 21096448 25762801 27029824 40215104 51525602 54059648 80430208 103051204 108119296 160860416 206102408 216238592 321720832 412204816 432477184 643441664 824409632 864954368 1286883328 1648819264 3297638528 6595277056 13190554112 26381108224 52762216448