Search a number
-
+
13858430796 = 223272918110477
BaseRepresentation
bin11001110100000011…
…01101111101001100
31022202211002020010200
430322001231331030
5211340224241141
610211054133500
71000265501220
oct147201557514
938684066120
1013858430796
1159717a51a1
1228291b1290
1313cb1a2512
14956784780
155619bbab6
hex33a06df4c

13858430796 has 144 divisors (see below), whose sum is σ = 41648792640. Its totient is φ = 3801530880.

The previous prime is 13858430783. The next prime is 13858430819. The reversal of 13858430796 is 69703485831.

13858430796 is a `hidden beast` number, since 138 + 5 + 8 + 430 + 79 + 6 = 666.

It is a super-2 number, since 2×138584307962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1317510 + ... + 1327986.

Almost surely, 213858430796 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 13858430796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20824396320).

13858430796 is an abundant number, since it is smaller than the sum of its proper divisors (27790361844).

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

13858430796 is a wasteful number, since it uses less digits than its factorization.

13858430796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10704 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 13858430796 in words is "thirteen billion, eight hundred fifty-eight million, four hundred thirty thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 181 203 252 261 348 362 406 522 543 609 724 812 1044 1086 1218 1267 1629 1827 2172 2436 2534 3258 3654 3801 5068 5249 6516 7308 7602 10477 10498 11403 15204 15747 20954 20996 22806 31431 31494 36743 41908 45612 47241 62862 62988 73339 73486 94293 94482 110229 125724 146678 146972 188586 188964 220017 220458 293356 303833 330687 377172 440034 440916 607666 660051 661374 880068 911499 1215332 1320102 1322748 1822998 1896337 2126831 2640204 2734497 3645996 3792674 4253662 5468994 5689011 6380493 7585348 8507324 10937988 11378022 12760986 13274359 17067033 19141479 22756044 25521972 26548718 34134066 38282958 39823077 53097436 54993773 68268132 76565916 79646154 109987546 119469231 159292308 164981319 219975092 238938462 329962638 384956411 477876924 494943957 659925276 769912822 989887914 1154869233 1539825644 1979775828 2309738466 3464607699 4619476932 6929215398 13858430796