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2528662668252 = 2237314322582991
BaseRepresentation
bin100100110011000000000…
…010100100001111011100
322221201220211220222022020
4210303000002210033130
5312412200120341002
65213352424420140
7350455422020040
oct44630002441734
98851824828266
102528662668252
11895444177166
1234a0a4017650
131545b499b076
148a560680020
1545b9a1232bc
hex24cc00a43dc

2528662668252 has 96 divisors (see below), whose sum is σ = 7122495012864. Its totient is φ = 682909617600.

The previous prime is 2528662668247. The next prime is 2528662668293.

2528662668252 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25286626682522 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11179524 + ... + 11403467.

It is an arithmetic number, because the mean of its divisors is an integer number (74192656384).

Almost surely, 22528662668252 is an apocalyptic number.

It is an amenable number.

2528662668252 is an abundant number, since it is smaller than the sum of its proper divisors (4593832344612).

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

2528662668252 is a wasteful number, since it uses less digits than its factorization.

2528662668252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22583079 (or 22583077 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 60.

The spelling of 2528662668252 in words is "two trillion, five hundred twenty-eight billion, six hundred sixty-two million, six hundred sixty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 43 62 84 86 93 124 129 172 186 217 258 301 372 434 516 602 651 868 903 1204 1302 1333 1806 2604 2666 3612 3999 5332 7998 9331 15996 18662 27993 37324 55986 111972 22582991 45165982 67748973 90331964 135497946 158080937 270995892 316161874 474242811 632323748 700072721 948485622 971068613 1400145442 1896971244 1942137226 2100218163 2800290884 2913205839 3884274452 4200436326 4900509047 5826411678 6797480291 8400872652 9801018094 11652823356 13594960582 14701527141 19602036188 20392440873 27189921164 29403054282 30103127003 40784881746 58806108564 60206254006 81569763492 90309381009 120412508012 180618762018 210721889021 361237524036 421443778042 632165667063 842887556084 1264331334126 2528662668252