Search a number
-
+
52526290128880 = 2454771919429427
BaseRepresentation
bin10111111000101101110101…
…10111010100111111110000
320212222110112110201202021111
423330112322313110333300
523341042320233111010
6303414124454203104
714030620302255601
oct1374267267247760
9225873473652244
1052526290128880
1115811302469307
125a83b44353494
1323402919cb599
14cd8400b35da8
156114e183358a
hex2fc5badd4ff0

52526290128880 has 80 divisors (see below), whose sum is σ = 124895471892480. Its totient is φ = 20534882621696.

The previous prime is 52526290128877. The next prime is 52526290128883. The reversal of 52526290128880 is 8882109262525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52526290128877) and next prime (52526290128883).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×525262901288802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52526290128883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7011274 + ... + 12418153.

It is an arithmetic number, because the mean of its divisors is an integer number (1561193398656).

Almost surely, 252526290128880 is an apocalyptic number.

It is an amenable number.

52526290128880 is an abundant number, since it is smaller than the sum of its proper divisors (72369181763600).

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

52526290128880 is a wasteful number, since it uses less digits than its factorization.

52526290128880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19430206 (or 19430200 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 58.

The spelling of 52526290128880 in words is "fifty-two trillion, five hundred twenty-six billion, two hundred ninety million, one hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 719 752 940 1438 1880 2876 3595 3760 5752 7190 11504 14380 28760 33793 57520 67586 135172 168965 270344 337930 540688 675860 1351720 2703440 19429427 38858854 77717708 97147135 155435416 194294270 310870832 388588540 777177080 913183069 1554354160 1826366138 3652732276 4565915345 7305464552 9131830690 13969758013 14610929104 18263661380 27939516026 36527322760 55879032052 69848790065 73054645520 111758064104 139697580130 223516128208 279395160260 558790320520 656578626611 1117580641040 1313157253222 2626314506444 3282893133055 5252629012888 6565786266110 10505258025776 13131572532220 26263145064440 52526290128880