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11532520890 = 23251121059001
BaseRepresentation
bin10101011110110010…
…00100110110111010
31002202201110202120100
422233121010312322
5142104311132030
65144205540230
7555533544612
oct125731046672
932681422510
1011532520890
114988897700
12229a274676
13111a357c77
147b58cda42
154776cd360
hex2af644dba

11532520890 has 72 divisors (see below), whose sum is σ = 32958260244. Its totient is φ = 2795760000.

The previous prime is 11532520871. The next prime is 11532520897. The reversal of 11532520890 is 9802523511.

11532520890 is a `hidden beast` number, since 1 + 1 + 53 + 2 + 520 + 89 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11144391489 + 388129401 = 105567^2 + 19701^2 .

It is not an unprimeable number, because it can be changed into a prime (11532520897) 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 35 ways as a sum of consecutive naturals, for example, 518611 + ... + 540390.

Almost surely, 211532520890 is an apocalyptic number.

11532520890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11532520890 is an abundant number, since it is smaller than the sum of its proper divisors (21425739354).

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

11532520890 is a wasteful number, since it uses less digits than its factorization.

11532520890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059036 (or 1059022 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11532520890 in words is "eleven billion, five hundred thirty-two million, five hundred twenty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 1059001 2118002 3177003 5295005 6354006 9531009 10590010 11649011 15885015 19062018 23298022 31770030 34947033 47655045 58245055 69894066 95310090 104841099 116490110 128139121 174735165 209682198 256278242 349470330 384417363 524205495 640695605 768834726 1048410990 1153252089 1281391210 1922086815 2306504178 3844173630 5766260445 11532520890