Search a number
-
+
53131616672823 = 33131947169509661
BaseRepresentation
bin11000001010010101010110…
…01000110101110000110111
320222010022222201102021102000
430011022223020311300313
523431002022332012243
6305000154442550343
714122426664063343
oct1405125310656067
9228108881367360
1053131616672823
1115a24aa0523137
125b6131ab083b3
1323853a004a330
14d198265a0623
1562211e10b5d3
hex3052ab235c37

53131616672823 has 64 divisors (see below), whose sum is σ = 91128394291200. Its totient is φ = 30316463671680.

The previous prime is 53131616672807. The next prime is 53131616672831. The reversal of 53131616672823 is 32827661613135.

53131616672823 is a `hidden beast` number, since 5 + 3 + 13 + 1 + 616 + 6 + 7 + 2 + 8 + 2 + 3 = 666.

It is not a de Polignac number, because 53131616672823 - 24 = 53131616672807 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53131616672823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53131616672873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84441388 + ... + 85068273.

It is an arithmetic number, because the mean of its divisors is an integer number (1423881160800).

Almost surely, 253131616672823 is an apocalyptic number.

53131616672823 is a deficient number, since it is larger than the sum of its proper divisors (37996777618377).

53131616672823 is a wasteful number, since it uses less digits than its factorization.

53131616672823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169509749 (or 169509743 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 53131616672823 in words is "fifty-three trillion, one hundred thirty-one billion, six hundred sixteen million, six hundred seventy-two thousand, eight hundred twenty-three".

Divisors: 1 3 9 13 19 27 39 47 57 117 141 171 247 351 423 513 611 741 893 1269 1833 2223 2679 5499 6669 8037 11609 16497 24111 34827 104481 313443 169509661 508528983 1525586949 2203625593 3220683559 4576760847 6610876779 7966954067 9662050677 19832630337 23900862201 28986152031 41868886267 59497891011 71702586603 86958456093 103570402871 125606658801 151372127273 215107759809 310711208613 376819976403 454116381819 932133625839 1130459929209 1362349145457 1967837654549 2796400877517 4087047436371 5903512963647 17710538890941 53131616672823