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12995053728 = 2532316336107
BaseRepresentation
bin11000001101001000…
…01100100010100000
31020112122111010110020
430012210030202200
5203103213204403
65545253033440
7640013064006
oct140644144240
936478433406
1012995053728
115569407228
122628025880
1312c135c507
148b3c3ca76
15510cc6453
hex30690c8a0

12995053728 has 96 divisors (see below), whose sum is σ = 35814514176. Its totient is φ = 4117817088.

The previous prime is 12995053727. The next prime is 12995053741. The reversal of 12995053728 is 82735059921.

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

It is not an unprimeable number, because it can be changed into a prime (12995053723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341851 + ... + 377957.

It is an arithmetic number, because the mean of its divisors is an integer number (373067856).

Almost surely, 212995053728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12995053728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907257088).

12995053728 is an abundant number, since it is smaller than the sum of its proper divisors (22819460448).

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

12995053728 is a wasteful number, since it uses less digits than its factorization.

12995053728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36306 (or 36298 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 12995053728 in words is "twelve billion, nine hundred ninety-five million, fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 163 184 276 326 368 489 552 652 736 978 1104 1304 1956 2208 2608 3749 3912 5216 7498 7824 11247 14996 15648 22494 29992 36107 44988 59984 72214 89976 108321 119968 144428 179952 216642 288856 359904 433284 577712 830461 866568 1155424 1660922 1733136 2491383 3321844 3466272 4982766 5885441 6643688 9965532 11770882 13287376 17656323 19931064 23541764 26574752 35312646 39862128 47083528 70625292 79724256 94167056 135365143 141250584 188334112 270730286 282501168 406095429 541460572 565002336 812190858 1082921144 1624381716 2165842288 3248763432 4331684576 6497526864 12995053728