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12058828096 = 267107251561
BaseRepresentation
bin10110011101100001…
…10001110101000000
31011010101210221022211
423032300301311000
5144144024444341
65312330311504
7604554230140
oct131660616500
934111727284
1012058828096
115128992037
122406588594
1311a23c1253
14825772920
154a89e1181
hex2cec31d40

12058828096 has 56 divisors (see below), whose sum is σ = 27603395136. Its totient is φ = 5119749120.

The previous prime is 12058828063. The next prime is 12058828147. The reversal of 12058828096 is 69082885021.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77845 + ... + 173716.

Almost surely, 212058828096 is an apocalyptic number.

12058828096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12058828096 is an abundant number, since it is smaller than the sum of its proper divisors (15544567040).

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

12058828096 is a wasteful number, since it uses less digits than its factorization.

12058828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251687 (or 251677 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 12058828096 in words is "twelve billion, fifty-eight million, eight hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 214 224 428 448 749 856 1498 1712 2996 3424 5992 6848 11984 23968 47936 251561 503122 1006244 1760927 2012488 3521854 4024976 7043708 8049952 14087416 16099904 26917027 28174832 53834054 56349664 107668108 112699328 188419189 215336216 376838378 430672432 753676756 861344864 1507353512 1722689728 3014707024 6029414048 12058828096