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11528048376 = 2332132947407
BaseRepresentation
bin10101011110010000…
…00000111011111000
31002202102001112102200
422233020000323320
5142102140022001
65143530030200
7555450536325
oct125710007370
932672045380
1011528048376
114986312409
122298878360
131119450300
147b5087b4c
154770e8086
hex2af200ef8

11528048376 has 72 divisors (see below), whose sum is σ = 33808254480. Its totient is φ = 3547088064.

The previous prime is 11528048333. The next prime is 11528048387. The reversal of 11528048376 is 67384082511.

11528048376 is a `hidden beast` number, since 11 + 528 + 0 + 48 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 461536 + ... + 485871.

It is an arithmetic number, because the mean of its divisors is an integer number (469559090).

Almost surely, 211528048376 is an apocalyptic number.

It is an amenable number.

11528048376 is an abundant number, since it is smaller than the sum of its proper divisors (22280206104).

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

11528048376 is a wasteful number, since it uses less digits than its factorization.

11528048376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947445 (or 947425 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11528048376 in words is "eleven billion, five hundred twenty-eight million, forty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 947407 1894814 2842221 3789628 5684442 7579256 8526663 11368884 12316291 17053326 22737768 24632582 34106652 36948873 49265164 68213304 73897746 98530328 110846619 147795492 160111783 221693238 295590984 320223566 443386476 480335349 640447132 886772952 960670698 1280894264 1441006047 1921341396 2882012094 3842682792 5764024188 11528048376