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13126532036032 = 261741443664253
BaseRepresentation
bin1011111100000100001001…
…0001110111010111000000
31201110212212120211221200101
42333001002101313113000
53210031114200123112
643530125013132144
72523234462224542
oct277010221672700
951425776757611
1013126532036032
114200a271431a8
12158001502a054
13742a9922c25c
14335482ab1692
1517b6b7d1a757
hexbf0424775c0

13126532036032 has 112 divisors (see below), whose sum is σ = 28316701641312. Its totient is φ = 6012915384320.

The previous prime is 13126532036027. The next prime is 13126532036119. The reversal of 13126532036032 is 23063023562131.

It is a junction number, because it is equal to n+sod(n) for n = 13126532035982 and 13126532036000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19429218 + ... + 20093470.

It is an arithmetic number, because the mean of its divisors is an integer number (252827693226).

Almost surely, 213126532036032 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 13126532036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158350820656).

13126532036032 is an abundant number, since it is smaller than the sum of its proper divisors (15190169605280).

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

13126532036032 is a wasteful number, since it uses less digits than its factorization.

13126532036032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664766 (or 664756 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 37.

Adding to 13126532036032 its reverse (23063023562131), we get a palindrome (36189555598163).

The spelling of 13126532036032 in words is "thirteen trillion, one hundred twenty-six billion, five hundred thirty-two million, thirty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 443 544 656 697 886 1088 1312 1394 1772 2624 2788 3544 5576 7088 7531 11152 14176 15062 18163 22304 28352 30124 36326 44608 60248 72652 120496 145304 240992 290608 308771 481984 581216 617542 664253 1162432 1235084 1328506 2470168 2657012 4940336 5314024 9880672 10628048 11292301 19761344 21256096 22584602 27234373 42512192 45169204 54468746 90338408 108937492 180676816 217874984 294264079 361353632 435749968 462984341 588528158 722707264 871499936 925968682 1177056316 1742999872 1851937364 2354112632 3703874728 4708225264 5002489343 7407749456 9416450528 10004978686 12064827239 14815498912 18832901056 20009957372 24129654478 29630997824 40019914744 48259308956 80039829488 96518617912 160079658976 193037235824 205102063063 320159317952 386074471648 410204126126 772148943296 820408252252 1640816504504 3281633009008 6563266018016 13126532036032