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52105004025424 = 2471513179719081
BaseRepresentation
bin10111101100011101001000…
…10000011000011001010000
320211111012010022121021202121
423312032210100120121100
523312142022012303144
6302452413003024024
713655314400416120
oct1366164420303120
9224435108537677
1052105004025424
1115669676441379
125a1637050b014
13230c63340496c
14cc1c77946c80
15605586326384
hex2f63a4418650

52105004025424 has 80 divisors (see below), whose sum is σ = 116505823792896. Its totient is φ = 22112850816000.

The previous prime is 52105004025407. The next prime is 52105004025439. The reversal of 52105004025424 is 42452040050125.

It is a self number, because there is not a number n which added to its sum of digits gives 52105004025424.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 501564 + ... + 10220644.

Almost surely, 252105004025424 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 52105004025424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58252911896448).

52105004025424 is an abundant number, since it is smaller than the sum of its proper divisors (64400819767472).

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

52105004025424 is a wasteful number, since it uses less digits than its factorization.

52105004025424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719564 (or 9719558 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

Adding to 52105004025424 its reverse (42452040050125), we get a palindrome (94557044075549).

The spelling of 52105004025424 in words is "fifty-two trillion, one hundred five billion, four million, twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 151 302 317 604 634 1057 1208 1268 2114 2219 2416 2536 4228 4438 5072 8456 8876 16912 17752 35504 47867 95734 191468 335069 382936 670138 765872 1340276 2680552 5361104 9719081 19438162 38876324 68033567 77752648 136067134 155505296 272134268 544268536 1088537072 1467581231 2935162462 3080948677 5870324924 6161897354 10273068617 11740649848 12323794708 20546137234 21566640739 23481299696 24647589416 41092274468 43133281478 49295178832 82184548936 86266562956 164369097872 172533125912 345066251824 465223250227 930446500454 1860893000908 3256562751589 3721786001816 6513125503178 7443572003632 13026251006356 26052502012712 52105004025424