Search a number
-
+
51684625168 = 24112325495009
BaseRepresentation
bin110000001000101001…
…001100101100010000
311221101222201222220121
4300020221030230100
51321322231001133
635424340520024
73506536031251
oct601051145420
9157358658817
1051684625168
111aa12694960
12a0250b0014
134b48a95157
142704372b28
15152770d02d
hexc08a4cb10

51684625168 has 80 divisors (see below), whose sum is σ = 114059664000. Its totient is φ = 22458275840.

The previous prime is 51684625129. The next prime is 51684625169. The reversal of 51684625168 is 86152648615.

It is not an unprimeable number, because it can be changed into a prime (51684625169) 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, 10315848 + ... + 10320856.

It is an arithmetic number, because the mean of its divisors is an integer number (1425745800).

Almost surely, 251684625168 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 51684625168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57029832000).

51684625168 is an abundant number, since it is smaller than the sum of its proper divisors (62375038832).

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

51684625168 is a wasteful number, since it uses less digits than its factorization.

51684625168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600 (or 7594 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 52.

The spelling of 51684625168 in words is "fifty-one billion, six hundred eighty-four million, six hundred twenty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 2549 4048 5009 5098 10018 10196 20036 20392 28039 40072 40784 55099 56078 58627 80144 110198 112156 115207 117254 220396 224312 230414 234508 440792 448624 460828 469016 644897 881584 921656 938032 1267277 1289794 1843312 2534554 2579588 5069108 5159176 10138216 10318352 12767941 20276432 25535882 51071764 102143528 140447351 204287056 280894702 293662643 561789404 587325286 1123578808 1174650572 2247157616 2349301144 3230289073 4698602288 6460578146 12921156292 25842312584 51684625168