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1032126997968 = 2432111494373123
BaseRepresentation
bin11110000010011111001…
…00000010010111010000
310122200002201001000112200
433001033210002113100
5113402244002413333
62110052543323200
7134366032505103
oct17011744022720
93580081030480
101032126997968
113687a4867a90
121480492b0500
1376438212201
1437d5316873a
151bcabe8bc13
hexf04f9025d0

1032126997968 has 120 divisors (see below), whose sum is σ = 3172264149600. Its totient is φ = 310666586880.

The previous prime is 1032126997907. The next prime is 1032126997997. The reversal of 1032126997968 is 8697996212301.

It is a super-2 number, since 2×10321269979682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1950546 + ... + 2422577.

It is an arithmetic number, because the mean of its divisors is an integer number (26435534580).

Almost surely, 21032126997968 is an apocalyptic number.

1032126997968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1032126997968 is an abundant number, since it is smaller than the sum of its proper divisors (2140137151632).

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

1032126997968 is a wasteful number, since it uses less digits than its factorization.

1032126997968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373297 (or 4373288 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 1032126997968 in words is "one trillion, thirty-two billion, one hundred twenty-six million, nine hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 149 176 198 264 298 396 447 528 596 792 894 1192 1341 1584 1639 1788 2384 2682 3278 3576 4917 5364 6556 7152 9834 10728 13112 14751 19668 21456 26224 29502 39336 59004 78672 118008 236016 4373123 8746246 13119369 17492492 26238738 34984984 39358107 48104353 52477476 69969968 78716214 96208706 104954952 144313059 157432428 192417412 209909904 288626118 314864856 384834824 432939177 577252236 629729712 651595327 769669648 865878354 1154504472 1303190654 1731756708 1954785981 2309008944 2606381308 3463513416 3909571962 5212762616 5864357943 6927026832 7167548597 7819143924 10425525232 11728715886 14335097194 15638287848 21502645791 23457431772 28670194388 31276575696 43005291582 46914863544 57340388776 64507937373 86010583164 93829727088 114680777552 129015874746 172021166328 258031749492 344042332656 516063498984 1032126997968