Search a number
-
+
12808119648 = 253474017079
BaseRepresentation
bin10111110110110110…
…00110010101100000
31020001121201220002210
423323123012111200
5202212334312043
65514534242120
7632253135462
oct137333062540
936047656083
1012808119648
115482938955
1225954b6340
1312916cb42c
1489709c132
154ee69d633
hex2fb6c6560

12808119648 has 96 divisors (see below), whose sum is σ = 34427151360. Its totient is φ = 4167526400.

The previous prime is 12808119647. The next prime is 12808119677. The reversal of 12808119648 is 84691180821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12808119597 and 12808119606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12808119647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1805773 + ... + 1812851.

It is an arithmetic number, because the mean of its divisors is an integer number (358616160).

Almost surely, 212808119648 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 12808119648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17213575680).

12808119648 is an abundant number, since it is smaller than the sum of its proper divisors (21619031712).

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

12808119648 is a wasteful number, since it uses less digits than its factorization.

12808119648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 7532 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The spelling of 12808119648 in words is "twelve billion, eight hundred eight million, one hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 401 564 752 802 1128 1203 1504 1604 2256 2406 3208 4512 4812 6416 7079 9624 12832 14158 18847 19248 21237 28316 37694 38496 42474 56541 56632 75388 84948 113082 113264 150776 169896 226164 226528 301552 332713 339792 452328 603104 665426 679584 904656 998139 1330852 1809312 1996278 2661704 2838679 3992556 5323408 5677358 7985112 8516037 10646816 11354716 15970224 17032074 22709432 31940448 34064148 45418864 68128296 90837728 133417913 136256592 266835826 272513184 400253739 533671652 800507478 1067343304 1601014956 2134686608 3202029912 4269373216 6404059824 12808119648