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51127786161 = 32172911523053
BaseRepresentation
bin101111100111011101…
…000001101010110001
311212222011221122101200
4233213131001222301
51314202203124121
635253205521413
73456665004024
oct574735015261
9155864848350
1051127786161
111a757336531
129aaa713269
134a8a5cbb0a
1426904231bb
1514e38b8a26
hexbe7741ab1

51127786161 has 24 divisors (see below), whose sum is σ = 80891839080. Its totient is φ = 30973963776.

The previous prime is 51127786159. The next prime is 51127786189. The reversal of 51127786161 is 16168772115.

51127786161 is a `hidden beast` number, since 5 + 1 + 1 + 27 + 7 + 8 + 616 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27970555536 + 23157230625 = 167244^2 + 152175^2 .

It is not a de Polignac number, because 51127786161 - 21 = 51127786159 is a prime.

It is a super-2 number, since 2×511277861612 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (51127786121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5757090 + ... + 5765963.

It is an arithmetic number, because the mean of its divisors is an integer number (3370493295).

Almost surely, 251127786161 is an apocalyptic number.

51127786161 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

51127786161 is a deficient number, since it is larger than the sum of its proper divisors (29764052919).

51127786161 is a wasteful number, since it uses less digits than its factorization.

51127786161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11523105 (or 11523102 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The spelling of 51127786161 in words is "fifty-one billion, one hundred twenty-seven million, seven hundred eighty-six thousand, one hundred sixty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 11523053 34569159 103707477 195891901 334168537 587675703 1002505611 1763027109 3007516833 5680865129 17042595387 51127786161