Search a number
-
+
52105200144 = 24317331320047
BaseRepresentation
bin110000100001101101…
…100100001000010000
311222111022010102022120
4300201231210020100
51323202412401034
635534203134240
73523133615334
oct604155441020
9158438112276
1052105200144
1120109033088
12a121b14380
134bb4c5b79a
1427441717c4
15154e5d7c49
hexc21b64210

52105200144 has 80 divisors (see below), whose sum is σ = 135822473472. Its totient is φ = 17211976704.

The previous prime is 52105200137. The next prime is 52105200151. The reversal of 52105200144 is 44100250125.

It is an interprime number because it is at equal distance from previous prime (52105200137) and next prime (52105200151).

It is a super-3 number, since 3×521052001443 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2589129 + ... + 2609175.

Almost surely, 252105200144 is an apocalyptic number.

It is an amenable number.

52105200144 is an abundant number, since it is smaller than the sum of its proper divisors (83717273328).

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

52105200144 is a wasteful number, since it uses less digits than its factorization.

52105200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20544 (or 20538 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 52105200144 its reverse (44100250125), we get a palindrome (96205450269).

The spelling of 52105200144 in words is "fifty-two billion, one hundred five million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 173 313 346 519 626 692 939 1038 1252 1384 1878 2076 2504 2768 3756 4152 5008 7512 8304 15024 20047 40094 54149 60141 80188 108298 120282 160376 162447 216596 240564 320752 324894 433192 481128 649788 866384 962256 1299576 2599152 3468131 6274711 6936262 10404393 12549422 13872524 18824133 20808786 25098844 27745048 37648266 41617572 50197688 55490096 75296532 83235144 100395376 150593064 166470288 301186128 1085525003 2171050006 3256575009 4342100012 6513150018 8684200024 13026300036 17368400048 26052600072 52105200144