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13703707072 = 26111711310133
BaseRepresentation
bin11001100001100110…
…11111100111000000
31022101000221110002101
430300303133213000
5211031122111242
610143450000144
7663406405516
oct146063374700
938330843071
1013703707072
1158a2426a50
1227a5416054
1313a510b513
1493ddca4b6
155531079b7
hex330cdf9c0

13703707072 has 112 divisors (see below), whose sum is σ = 31691531232. Its totient is φ = 5810094080.

The previous prime is 13703707051. The next prime is 13703707097. The reversal of 13703707072 is 27070730731.

It is a happy number.

13703707072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1347318 + ... + 1357450.

Almost surely, 213703707072 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 13703707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15845765616).

13703707072 is an abundant number, since it is smaller than the sum of its proper divisors (17987824160).

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

13703707072 is a wasteful number, since it uses less digits than its factorization.

13703707072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10286 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 43218, while the sum is 37.

The spelling of 13703707072 in words is "thirteen billion, seven hundred three million, seven hundred seven thousand, seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 113 136 176 187 226 272 352 374 452 544 704 748 904 1088 1243 1496 1808 1921 2486 2992 3616 3842 4972 5984 7232 7684 9944 10133 11968 15368 19888 20266 21131 30736 39776 40532 42262 61472 79552 81064 84524 111463 122944 162128 169048 172261 222926 324256 338096 344522 445852 648512 676192 689044 891704 1145029 1352384 1378088 1783408 1894871 2290058 2756176 3566816 3789742 4580116 5512352 7133632 7579484 9160232 11024704 12595319 15158968 18320464 19465493 25190638 30317936 36640928 38930986 50381276 60635872 73281856 77861972 100762552 121271744 155723944 201525104 214120423 311447888 403050208 428240846 622895776 806100416 856481692 1245791552 1712963384 3425926768 6851853536 13703707072