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13362755055 = 3513174198317
BaseRepresentation
bin11000111000111101…
…10111010111101111
31021111021101021211220
430130132313113233
5204331331130210
610045550114423
7652066354356
oct143436672757
937437337756
1013362755055
115737a21721
12270b1aba13
13134c5a2770
1490a9d699d
15533209c70
hex31c7b75ef

13362755055 has 64 divisors (see below), whose sum is σ = 24974345088. Its totient is φ = 6040535040.

The previous prime is 13362755041. The next prime is 13362755059. The reversal of 13362755055 is 55055726331.

It is a happy number.

It is not a de Polignac number, because 13362755055 - 25 = 13362755023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13362754998 and 13362755016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362755059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86757 + ... + 185073.

It is an arithmetic number, because the mean of its divisors is an integer number (390224142).

Almost surely, 213362755055 is an apocalyptic number.

13362755055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13362755055 is a deficient number, since it is larger than the sum of its proper divisors (11611590033).

13362755055 is a wasteful number, since it uses less digits than its factorization.

13362755055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98396.

The product of its (nonzero) digits is 472500, while the sum is 42.

The spelling of 13362755055 in words is "thirteen billion, three hundred sixty-two million, seven hundred fifty-five thousand, fifty-five".

Divisors: 1 3 5 13 15 17 39 41 51 65 85 123 195 205 221 255 533 615 663 697 1105 1599 2091 2665 3315 3485 7995 9061 10455 27183 45305 98317 135915 294951 491585 1278121 1474755 1671389 3834363 4030997 5014167 6390605 8356945 12092991 19171815 20154985 21728057 25070835 52402961 60464955 65184171 68526949 108640285 157208883 205580847 262014805 325920855 342634745 786044415 890850337 1027904235 2672551011 4454251685 13362755055