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12151719712 = 251149317001
BaseRepresentation
bin10110101000100110…
…01000011100100000
31011100212121022200001
423110103020130200
5144341320012322
65325445305344
7610062625156
oct132423103440
934325538601
1012151719712
115176368970
122431705254
1311b87163c2
14833c333d6
154b1c3e827
hex2d44c8720

12151719712 has 48 divisors (see below), whose sum is σ = 26107601184. Its totient is φ = 5521600000.

The previous prime is 12151719707. The next prime is 12151719721. The reversal of 12151719712 is 21791715121.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1732212 + ... + 1739212.

It is an arithmetic number, because the mean of its divisors is an integer number (543908358).

Almost surely, 212151719712 is an apocalyptic number.

It is an amenable number.

12151719712 is an abundant number, since it is smaller than the sum of its proper divisors (13955881472).

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

12151719712 is a wasteful number, since it uses less digits than its factorization.

12151719712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11953 (or 11945 counting only the distinct ones).

The product of its digits is 8820, while the sum is 37.

The spelling of 12151719712 in words is "twelve billion, one hundred fifty-one million, seven hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 4931 7001 9862 14002 19724 28004 39448 54241 56008 77011 78896 108482 112016 154022 157792 216964 224032 308044 433928 616088 867856 1232176 1735712 2464352 34521931 69043862 138087724 276175448 379741241 552350896 759482482 1104701792 1518964964 3037929928 6075859856 12151719712