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2532112112352 = 253371808939409
BaseRepresentation
bin100100110110001101101…
…001001001101011100000
322222001211020122220001010
4210312031221021223200
5312441231200043402
65215123010140520
7350640045555264
oct44661551115340
98861736586033
102532112112352
11896954303609
1234a8a7281740
13154a14516254
148a7aa83c0a4
1545cecd95a6c
hex24d8da49ae0

2532112112352 has 96 divisors (see below), whose sum is σ = 6826987994400. Its totient is φ = 821159313408.

The previous prime is 2532112112347. The next prime is 2532112112371.

2532112112352 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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, 64232424 + ... + 64271832.

It is an arithmetic number, because the mean of its divisors is an integer number (71114458275).

Almost surely, 22532112112352 is an apocalyptic number.

It is an amenable number.

2532112112352 is an abundant number, since it is smaller than the sum of its proper divisors (4294875882048).

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

2532112112352 is a wasteful number, since it uses less digits than its factorization.

2532112112352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57548 (or 57540 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The spelling of 2532112112352 in words is "two trillion, five hundred thirty-two billion, one hundred twelve million, one hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 18089 36178 39409 54267 72356 78818 108534 118227 144712 157636 217068 236454 289424 315272 434136 472908 578848 630544 669293 868272 945816 1261088 1338586 1458133 1736544 1891632 2007879 2677172 2916266 3783264 4015758 4374399 5354344 5832532 8031516 8748798 10708688 11665064 16063032 17497596 21417376 23330128 32126064 34995192 46660256 64252128 69990384 139980768 712869401 1425738802 2138608203 2851477604 4277216406 5702955208 8554432812 11405910416 17108865624 22811820832 26376167837 34217731248 52752335674 68435462496 79128503511 105504671348 158257007022 211009342696 316514014044 422018685392 633028028088 844037370784 1266056056176 2532112112352