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52125124301068 = 22713241833236983
BaseRepresentation
bin10111101101000010100111…
…00001001001000100001100
320211120010001112110012011211
423312201103201021010030
523313004223310113233
6302505541310224204
713656626113062640
oct1366412341110414
9224503045405154
1052125124301068
1115677160850255
125a1a2467b5064
1323114bb9a1b00
14cc2c25bbac20
15605d628ee5cd
hex2f685384910c

52125124301068 has 144 divisors (see below), whose sum is σ = 117032975248896. Its totient is φ = 19875587397120.

The previous prime is 52125124301053. The next prime is 52125124301069. The reversal of 52125124301068 is 86010342152125.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 52125124301068.

It is not an unprimeable number, because it can be changed into a prime (52125124301069) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14484505 + ... + 17721487.

It is an arithmetic number, because the mean of its divisors is an integer number (812728994784).

Almost surely, 252125124301068 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 52125124301068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58516487624448).

52125124301068 is an abundant number, since it is smaller than the sum of its proper divisors (64907850947828).

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

52125124301068 is a wasteful number, since it uses less digits than its factorization.

52125124301068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237144 (or 3237129 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 52125124301068 in words is "fifty-two trillion, one hundred twenty-five billion, one hundred twenty-four million, three hundred one thousand, sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 83 91 164 166 169 182 287 332 338 364 533 574 581 676 1066 1079 1148 1162 1183 2132 2158 2324 2366 3403 3731 4316 4732 6806 6929 7462 7553 13612 13858 14027 14924 15106 23821 27716 28054 30212 44239 47642 48503 56108 88478 95284 97006 98189 176956 194012 196378 309673 392756 575107 619346 1150214 1238692 2300428 3236983 4025749 6473966 8051498 12947932 16102996 22658881 42080779 45317762 84161558 90635524 132716303 168323116 265432606 268669589 294565453 530865212 537339178 547050127 589130906 929014121 1074678356 1094100254 1178261812 1725311939 1858028242 1880687123 2188200508 3450623878 3492704657 3716056484 3761374246 3829350889 6901247756 6985409314 7522748492 7658701778 11015453149 12077183573 13970818628 15317403556 22030906298 22429055207 24154367146 24448932599 44061812596 44858110414 45405160541 48308734292 48897865198 77108172043 89716220828 90810321082 97795730396 143200890937 154216344086 157003386449 181620642164 286401781874 308432688172 314006772898 317836123787 572803563748 628013545796 635672247574 1002406236559 1271344495148 1861611582181 2004812473118 3723223164362 4009624946236 7446446328724 13031281075267 26062562150534 52125124301068