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12758132832 = 253318235209
BaseRepresentation
bin10111110000111000…
…11010100001100000
31012221010200022002020
423320130122201200
5202112040222312
65505551021440
7631105224354
oct137034324140
935833608066
1012758132832
1154576a7035
12258080a880
131284249033
148905a9464
154ea0c778c
hex2f871a860

12758132832 has 96 divisors (see below), whose sum is σ = 34619074560. Its totient is φ = 4109736960.

The previous prime is 12758132819. The next prime is 12758132833. The reversal of 12758132832 is 23823185721.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12758132833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2446644 + ... + 2451852.

It is an arithmetic number, because the mean of its divisors is an integer number (360615360).

Almost surely, 212758132832 is an apocalyptic number.

12758132832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12758132832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309537280).

12758132832 is an abundant number, since it is smaller than the sum of its proper divisors (21860941728).

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

12758132832 is a wasteful number, since it uses less digits than its factorization.

12758132832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076 (or 6068 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 12758132832 in words is "twelve billion, seven hundred fifty-eight million, one hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 823 992 1488 1646 2469 2976 3292 4938 5209 6584 9876 10418 13168 15627 19752 20836 25513 26336 31254 39504 41672 51026 62508 76539 79008 83344 102052 125016 153078 161479 166688 204104 250032 306156 322958 408208 484437 500064 612312 645916 816416 968874 1224624 1291832 1937748 2449248 2583664 3875496 4287007 5167328 7750992 8574014 12861021 15501984 17148028 25722042 34296056 51444084 68592112 102888168 132897217 137184224 205776336 265794434 398691651 411552672 531588868 797383302 1063177736 1594766604 2126355472 3189533208 4252710944 6379066416 12758132832