Search a number
-
+
13095598096 = 2472612672
BaseRepresentation
bin11000011001000111…
…01111100000010000
31020210122200022101201
430030203233200100
5203304433114341
610003244040544
7642343514200
oct141443574020
936718608351
1013095598096
11561013a749
122655833154
131309133a19
148c3332400
15519a37331
hex30c8ef810

13095598096 has 135 divisors (see below), whose sum is σ = 30461544477. Its totient is φ = 5437998720.

The previous prime is 13095598091. The next prime is 13095598097. The reversal of 13095598096 is 69089559031.

The square root of 13095598096 is 114436.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 425844496 + 12669753600 = 20636^2 + 112560^2 .

It is not an unprimeable number, because it can be changed into a prime (13095598091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 195456655 + ... + 195456721.

Almost surely, 213095598096 is an apocalyptic number.

13095598096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13095598096 is the 114436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13095598096

13095598096 is an abundant number, since it is smaller than the sum of its proper divisors (17365946381).

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

13095598096 is an frugal number, since it uses more digits than its factorization.

13095598096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 55.

The spelling of 13095598096 in words is "thirteen billion, ninety-five million, five hundred ninety-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 67 98 112 122 134 196 244 268 392 427 469 488 536 784 854 938 976 1072 1708 1876 2989 3283 3416 3721 3752 4087 4489 5978 6566 6832 7442 7504 8174 8978 11956 13132 14884 16348 17956 23912 26047 26264 28609 29768 31423 32696 35912 47824 52094 52528 57218 59536 62846 65392 71824 104188 114436 125692 182329 200263 208376 219961 228872 249307 251384 273829 364658 400526 416752 439922 457744 498614 502768 547658 729316 801052 879844 997228 1095316 1458632 1602104 1745149 1759688 1916803 1994456 2190632 2917264 3204208 3490298 3519376 3833606 3988912 4381264 6980596 7667212 12216043 13417621 13961192 15334424 16703569 24432086 26835242 27922384 30668848 33407138 48864172 53670484 66814276 97728344 107340968 116924983 133628552 195456688 214681936 233849966 267257104 467699932 818474881 935399864 1636949762 1870799728 3273899524 6547799048 13095598096