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55532331225 = 32527194494133
BaseRepresentation
bin110011101101111111…
…000010000011011001
312022100010212201100100
4303231333002003121
51402212234044400
641302230330013
74004100012210
oct635577020331
9168303781310
1055532331225
112160760a418
12a9197b9909
13530cc937b7
14298b3a2077
1516a03ee100
hexcedfc20d9

55532331225 has 144 divisors (see below), whose sum is σ = 119952144000. Its totient is φ = 23990722560.

The previous prime is 55532331193. The next prime is 55532331271. The reversal of 55532331225 is 52213323555.

55532331225 is a `hidden beast` number, since 55 + 53 + 2 + 331 + 225 = 666.

It is not a de Polignac number, because 55532331225 - 25 = 55532331193 is a prime.

It is a super-2 number, since 2×555323312252 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 55532331225.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13434259 + ... + 13438391.

It is an arithmetic number, because the mean of its divisors is an integer number (833001000).

Almost surely, 255532331225 is an apocalyptic number.

It is an amenable number.

55532331225 is an abundant number, since it is smaller than the sum of its proper divisors (64419812775).

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

55532331225 is a wasteful number, since it uses less digits than its factorization.

55532331225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624 (or 4616 counting only the distinct ones).

The product of its digits is 135000, while the sum is 36.

The spelling of 55532331225 in words is "fifty-five billion, five hundred thirty-two million, three hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 225 285 315 399 449 475 525 665 855 1197 1347 1425 1575 1995 2245 3143 3325 4041 4133 4275 5985 6735 8531 9429 9975 11225 12399 15715 20205 20665 25593 28287 28931 29925 33675 37197 42655 47145 59717 61995 76779 78527 78575 86793 101025 103325 127965 141435 144655 179151 185985 213275 235581 235725 260379 298585 309975 383895 392635 433965 537453 549689 639825 706743 707175 723275 895755 929925 1177905 1301895 1492925 1649067 1855717 1919475 1963175 2169825 2687265 2748445 3533715 4478775 4947201 5567151 5889525 6509475 8245335 9278585 12990019 13436325 13742225 16701453 17668575 24736005 27835755 35258623 38970057 41226675 46392925 64950095 83507265 105775869 116910171 123680025 139178775 176293115 194850285 246810361 317327607 324750475 417536325 528879345 584550855 740431083 881465575 974251425 1234051805 1586638035 2221293249 2644396725 2922754275 3702155415 6170259025 7933190175 11106466245 18510777075 55532331225