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55134414225 = 3252111910311383
BaseRepresentation
bin110011010110010001…
…000110010110010001
312021022102010102211200
4303112101012112101
51400403402223400
641154533501413
73661165534302
oct632621062621
9167272112750
1055134414225
1121422a374a0
12a8284a1869
135278701357
1429505c07a9
15167a4ecb00
hexcd6446591

55134414225 has 144 divisors (see below), whose sum is σ = 114510289920. Its totient is φ = 25076822400.

The previous prime is 55134414217. The next prime is 55134414259. The reversal of 55134414225 is 52241443155.

55134414225 is a `hidden beast` number, since 5 + 5 + 13 + 4 + 414 + 225 = 666.

It is not a de Polignac number, because 55134414225 - 23 = 55134414217 is a prime.

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 55134414225.

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, 4837884 + ... + 4849266.

Almost surely, 255134414225 is an apocalyptic number.

55134414225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55134414225 is an abundant number, since it is smaller than the sum of its proper divisors (59375875695).

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

55134414225 is a wasteful number, since it uses less digits than its factorization.

55134414225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11532 (or 11524 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 55134414225 in words is "fifty-five billion, one hundred thirty-four million, four hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 19 25 33 45 55 57 75 95 99 103 165 171 209 225 275 285 309 475 495 515 627 825 855 927 1045 1133 1425 1545 1881 1957 2475 2575 3135 3399 4275 4635 5225 5665 5871 7725 9405 9785 10197 11383 15675 16995 17613 21527 23175 28325 29355 34149 47025 48925 50985 56915 64581 84975 88065 102447 107635 125213 146775 170745 193743 216277 254925 284575 322905 375639 440325 512235 538175 626065 648831 853725 968715 1081385 1126917 1172449 1614525 1878195 1946493 2379047 2561175 3130325 3244155 3517347 4843575 5406925 5634585 5862245 7137141 9390975 9732465 10552041 11895235 12896939 16220775 17586735 21411423 22276531 28172925 29311225 35685705 38690817 48662325 52760205 59476175 64484695 66829593 87933675 107057115 111382655 116072451 178428525 193454085 200488779 245041841 263801025 322423475 334147965 535285575 556913275 580362255 735125523 967270425 1002443895 1225209205 1670739825 2205376569 2901811275 3675627615 5012219475 6126046025 11026882845 18378138075 55134414225