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551131424131155 = 35746711239551833
BaseRepresentation
bin111110101010000000100100…
…0110000101000100001010011
32200021101122112112211221100120
41331110001020300220201103
51034214214124034144110
65232054140404521323
7224041634316131220
oct17524011060504123
92607348475757316
10551131424131155
1114a675584a5677a
1251990b669b0243
131a86a61630437a
149a14c9076a947
1543ab2d6b97870
hex1f54048c28853

551131424131155 has 32 divisors (see below), whose sum is σ = 1009941169595904. Its totient is φ = 251406295378176.

The previous prime is 551131424131117. The next prime is 551131424131157.

551131424131155 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 551131424131155 - 27 = 551131424131027 is a prime.

It is a super-3 number, since 3×5511314241311553 (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (551131424131157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5619726882 + ... + 5619824951.

It is an arithmetic number, because the mean of its divisors is an integer number (31560661549872).

Almost surely, 2551131424131155 is an apocalyptic number.

551131424131155 is a deficient number, since it is larger than the sum of its proper divisors (458809745464749).

551131424131155 is a wasteful number, since it uses less digits than its factorization.

551131424131155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11239552315.

The product of its digits is 180000, while the sum is 42.

The spelling of 551131424131155 in words is "five hundred fifty-one trillion, one hundred thirty-one billion, four hundred twenty-four million, one hundred thirty-one thousand, one hundred fifty-five".

Divisors: 1 3 5 7 15 21 35 105 467 1401 2335 3269 7005 9807 16345 49035 11239551833 33718655499 56197759165 78676862831 168593277495 236030588493 393384314155 1180152942465 5248870706011 15746612118033 26244353530055 36742094942077 78733060590165 110226284826231 183710474710385 551131424131155