Search a number
-
+
5101104512 = 27773167467
BaseRepresentation
bin1001100000000110…
…01010110110000000
3111011111121221212202
410300003022312000
540421340321022
62202102212332
7240260446550
oct46003126600
914144557782
105101104512
112188493359
12ba44240a8
13633a9b04a
1436569d160
151ecc78592
hex1300cad80

5101104512 has 128 divisors (see below), whose sum is σ = 11869079040. Its totient is φ = 2138738688.

The previous prime is 5101104461. The next prime is 5101104521. The reversal of 5101104512 is 2154011015.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10922903 + ... + 10923369.

It is an arithmetic number, because the mean of its divisors is an integer number (92727180).

Almost surely, 25101104512 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 5101104512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934539520).

5101104512 is an abundant number, since it is smaller than the sum of its proper divisors (6767974528).

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

5101104512 is a wasteful number, since it uses less digits than its factorization.

5101104512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 5101104512 is about 71422.0169975618. The cubic root of 5101104512 is about 1721.4248730113.

Adding to 5101104512 its reverse (2154011015), we get a palindrome (7255115527).

The spelling of 5101104512 in words is "five billion, one hundred one million, one hundred four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 167 224 292 334 448 467 511 584 668 896 934 1022 1168 1169 1336 1868 2044 2336 2338 2672 3269 3736 4088 4672 4676 5344 6538 7472 8176 9344 9352 10688 12191 13076 14944 16352 18704 21376 24382 26152 29888 32704 34091 37408 48764 52304 59776 65408 68182 74816 77989 85337 97528 104608 136364 149632 155978 170674 195056 209216 238637 272728 311956 341348 390112 418432 477274 545456 545923 623912 682696 780224 954548 1090912 1091846 1247824 1365392 1560448 1909096 2181824 2183692 2495648 2730784 3818192 4363648 4367384 4991296 5461568 5693197 7636384 8734768 9982592 10923136 11386394 15272768 17469536 22772788 30545536 34939072 39852379 45545576 69878144 79704758 91091152 159409516 182182304 318819032 364364608 637638064 728729216 1275276128 2550552256 5101104512