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13032012032 = 281341149641
BaseRepresentation
bin11000010001100010…
…01011100100000000
31020122020000210201022
430020301023210000
5203142143341112
65553053125012
7640642163114
oct141061134400
936566023638
1013032012032
11558825a586
122638489768
1312c8bcc730
148b8add744
15514176d72
hex308c4b900

13032012032 has 144 divisors (see below), whose sum is σ = 28935068400. Its totient is φ = 5819596800.

The previous prime is 13032012029. The next prime is 13032012041. The reversal of 13032012032 is 23021023031.

It can be written as a sum of positive squares in 8 ways, for example, as 2582265856 + 10449746176 = 50816^2 + 102224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13032012032.

It is an unprimeable number.

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, 20330432 + ... + 20331072.

It is an arithmetic number, because the mean of its divisors is an integer number (200937975).

Almost surely, 213032012032 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 13032012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467534200).

13032012032 is an abundant number, since it is smaller than the sum of its proper divisors (15903056368).

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

13032012032 is a wasteful number, since it uses less digits than its factorization.

13032012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13032012032 its reverse (23021023031), we get a palindrome (36053035063).

The spelling of 13032012032 in words is "thirteen billion, thirty-two million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 149 164 208 256 298 328 416 533 596 641 656 832 1066 1192 1282 1312 1664 1937 2132 2384 2564 2624 3328 3874 4264 4768 5128 5248 6109 7748 8333 8528 9536 10256 10496 12218 15496 16666 17056 19072 20512 24436 26281 30992 33332 34112 38144 41024 48872 52562 61984 66664 68224 79417 82048 95509 97744 105124 123968 133328 136448 158834 164096 191018 195488 210248 247936 266656 317668 341653 382036 390976 420496 495872 533312 635336 683306 764072 781952 840992 1066624 1241617 1270672 1366612 1528144 1563904 1681984 2133248 2483234 2541344 2733224 3056288 3363968 3915869 4966468 5082688 5466448 6112576 6727936 7831738 9932936 10165376 10932896 12225152 15663476 19865872 20330752 21865792 24450304 31326952 39731744 43731584 50906297 62653904 79463488 87463168 101812594 125307808 158926976 203625188 250615616 317853952 407250376 501231232 814500752 1002462464 1629001504 3258003008 6516006016 13032012032