Search a number
-
+
13828043762826 = 236789607636731
BaseRepresentation
bin1100100100111001011110…
…1000101110110010001010
31210221221121010221000201120
43021032113220232302022
53303024313200402301
645224303212100110
72625020546430036
oct311162750566212
953857533830646
1013828043762826
114451493231587
121673b73a64636
13793c95935c97
1435b3d0a8d1c6
1518ea74986e36
hexc9397a2ec8a

13828043762826 has 64 divisors (see below), whose sum is σ = 28431051632640. Its totient is φ = 4482130942080.

The previous prime is 13828043762821. The next prime is 13828043762839. The reversal of 13828043762826 is 62826734082831.

13828043762826 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13828043762826.

It is not an unprimeable number, because it can be changed into a prime (13828043762821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21398881 + ... + 22035611.

It is an arithmetic number, because the mean of its divisors is an integer number (444235181760).

Almost surely, 213828043762826 is an apocalyptic number.

13828043762826 is an abundant number, since it is smaller than the sum of its proper divisors (14603007869814).

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

13828043762826 is a wasteful number, since it uses less digits than its factorization.

13828043762826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637499.

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 13828043762826 in words is "thirteen trillion, eight hundred twenty-eight billion, forty-three million, seven hundred sixty-two thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 67 89 134 178 201 267 402 534 607 1214 1821 3642 5963 11926 17889 35778 40669 54023 81338 108046 122007 162069 244014 324138 636731 1273462 1910193 3619541 3820386 7239082 10858623 21717246 42660977 56669059 85321954 113338118 127982931 170007177 255965862 340014354 386495717 772991434 1159487151 2318974302 3796826953 7593653906 11390480859 22780961718 25895213039 34398118813 51790426078 68796237626 77685639117 103194356439 155371278234 206388712878 2304673960471 4609347920942 6914021881413 13828043762826