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13972929234 = 23112291016571
BaseRepresentation
bin11010000001101100…
…11111101011010010
31100001210112100110120
431000312133223102
5212104032213414
610230304211110
71003155640005
oct150066375322
940053470416
1013972929234
115a20399600
12285b609a96
131418b21284
14967a6b53c
1556ba872a9
hex340d9fad2

13972929234 has 96 divisors (see below), whose sum is σ = 32096070720. Its totient is φ = 4047120000.

The previous prime is 13972929211. The next prime is 13972929239. The reversal of 13972929234 is 43292927931.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13972929239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2123169 + ... + 2129739.

It is an arithmetic number, because the mean of its divisors is an integer number (334334070).

Almost surely, 213972929234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13972929234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048035360).

13972929234 is an abundant number, since it is smaller than the sum of its proper divisors (18123141486).

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

13972929234 is a wasteful number, since it uses less digits than its factorization.

13972929234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6728 (or 6717 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The spelling of 13972929234 in words is "thirteen billion, nine hundred seventy-two million, nine hundred twenty-nine thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 101 121 174 202 242 303 319 363 606 638 726 957 1111 1914 2222 2929 3333 3509 5858 6571 6666 7018 8787 10527 12221 13142 17574 19713 21054 24442 32219 36663 39426 64438 72281 73326 96657 144562 190559 193314 216843 354409 381118 433686 571677 663671 708818 795091 1063227 1143354 1327342 1590182 1991013 2096149 2126454 2385273 3982026 4192298 4770546 6288447 7300381 12576894 14600762 19246459 21901143 23057639 38492918 43802286 46115278 57739377 69172917 80304191 115478754 138345834 160608382 211711049 240912573 423422098 481825146 635133147 1270266294 2328821539 4657643078 6986464617 13972929234