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11632021571742 = 231113151467319213
BaseRepresentation
bin1010100101000100101010…
…0000111000100010011110
31112012000021120202010021020
42221101022200320202132
53011034340010243432
640423402115145010
72310246223665345
oct251211240704236
945160246663236
1011632021571742
113785126a27290
12137a4445a5166
13664b83204640
142c2dc8536b5c
1515289787522c
hexa944a83889e

11632021571742 has 128 divisors (see below), whose sum is σ = 27519504509952. Its totient is φ = 3231304704000.

The previous prime is 11632021571633. The next prime is 11632021571747. The reversal of 11632021571742 is 24717512023611.

It is a junction number, because it is equal to n+sod(n) for n = 11632021571694 and 11632021571703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11632021571747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 605414928 + ... + 605434140.

It is an arithmetic number, because the mean of its divisors is an integer number (214996128984).

Almost surely, 211632021571742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11632021571742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759752254976).

11632021571742 is an abundant number, since it is smaller than the sum of its proper divisors (15887482938210).

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

11632021571742 is a wasteful number, since it uses less digits than its factorization.

11632021571742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24066.

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 11632021571742 in words is "eleven trillion, six hundred thirty-two billion, twenty-one million, five hundred seventy-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 151 286 302 429 453 858 906 1661 1963 3322 3926 4673 4983 5889 9346 9966 11778 14019 19213 21593 28038 38426 43186 51403 57639 60749 64779 102806 115278 121498 129558 154209 182247 211343 249769 308418 364494 422686 499538 634029 668239 705623 749307 1268058 1336478 1411246 1498614 2004717 2116869 2747459 2901163 4009434 4233738 5494918 5802326 7761853 8242377 8703489 9173099 15523706 16484754 17406978 18346198 23285559 27519297 31912793 37715119 46571118 55038594 63825586 75430238 89782349 95738379 100904089 113145357 179564698 191476758 201808178 226290714 269347047 302712267 414866309 538694094 605424534 829732618 987605839 1167170537 1244598927 1975211678 2334341074 2489197854 2962817517 3501511611 5925635034 7003023222 12838875907 13557134699 25677751814 27114269398 38516627721 40671404097 77033255442 81342808194 149128481689 176242751087 298256963378 352485502174 447385445067 528728253261 894770890134 1057456506522 1938670261957 3877340523914 5816010785871 11632021571742