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55252444425255 = 33571138313878043
BaseRepresentation
bin11001001000000011101100…
…10100101010110000100111
321020122002012211222220202000
430210001312110222300213
524220224001233102010
6313302342250020343
714431600036405260
oct1444016624526047
9236562184886660
1055252444425255
11166724804a4760
126244363a176b3
1324aa38b1178ac
14d903382a7967
1565c399a997c0
hex32407652ac27

55252444425255 has 128 divisors (see below), whose sum is σ = 122784051363840. Its totient is φ = 22902100030080.

The previous prime is 55252444425229. The next prime is 55252444425259.

It is a happy number.

55252444425255 is a `hidden beast` number, since 5 + 5 + 2 + 524 + 4 + 44 + 25 + 2 + 55 = 666.

55252444425255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55252444425255 - 224 = 55252427648039 is a prime.

It is a super-2 number, since 2×552524444252552 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55252444425259) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2957737 + ... + 10920306.

It is an arithmetic number, because the mean of its divisors is an integer number (959250401280).

Almost surely, 255252444425255 is an apocalyptic number.

55252444425255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55252444425255 is an abundant number, since it is smaller than the sum of its proper divisors (67531606938585).

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

55252444425255 is a wasteful number, since it uses less digits than its factorization.

55252444425255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13878458 (or 13878452 counting only the distinct ones).

The product of its digits is 64000000, while the sum is 54.

The spelling of 55252444425255 in words is "fifty-five trillion, two hundred fifty-two billion, four hundred forty-four million, four hundred twenty-five thousand, two hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 383 385 495 693 945 1149 1155 1485 1915 2079 2681 3447 3465 4213 5745 8043 10341 10395 12639 13405 17235 21065 24129 29491 37917 40215 51705 63195 72387 88473 113751 120645 147455 189585 265419 361935 442365 568755 796257 1327095 3981285 13878043 41634129 69390215 97146301 124902387 152658473 208170645 291438903 374707161 457975419 485731505 624511935 763292365 874316709 1068609311 1373926257 1457194515 1873535805 2289877095 2622950127 3205827933 4121778771 4371583545 5315290469 5343046555 6869631285 9617483799 13114750635 15945871407 16029139665 20608893855 26576452345 28852451397 37207033283 47837614221 48087418995 58468195159 79729357035 111621099849 143512842663 144262256985 175404585477 186035166415 239188071105 292340975795 334863299547 409277366113 526213756431 558105499245 717564213315 877022927385 1004589898641 1227832098339 1578641269293 1674316497735 2046386830565 2631068782155 3683496295017 5022949493205 6139160491695 7893206346465 11050488885051 18417481475085 55252444425255