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51549734106 = 232131429315413
BaseRepresentation
bin110000000000100110…
…101000010011011010
311221001120220211011100
4300000212220103122
51321033212442411
635403121412230
73503310336663
oct600046502332
9157046824140
1051549734106
111a953532242
129ba7a9a076
134b26b56360
1426d049c36a
15151a965456
hexc009a84da

51549734106 has 48 divisors (see below), whose sum is σ = 120298932936. Its totient is φ = 15859317888.

The previous prime is 51549734077. The next prime is 51549734123. The reversal of 51549734106 is 60143794515.

51549734106 is a `hidden beast` number, since 51 + 5 + 497 + 3 + 4 + 106 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27867294225 + 23682439881 = 166935^2 + 153891^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3336856 + ... + 3352268.

Almost surely, 251549734106 is an apocalyptic number.

51549734106 is an abundant number, since it is smaller than the sum of its proper divisors (68749198830).

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

51549734106 is a wasteful number, since it uses less digits than its factorization.

51549734106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29727 (or 29724 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 51549734106 in words is "fifty-one billion, five hundred forty-nine million, seven hundred thirty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 14293 15413 28586 30826 42879 46239 85758 92478 128637 138717 185809 200369 257274 277434 371618 400738 557427 601107 1114854 1202214 1672281 1803321 3344562 3606642 220298009 440596018 660894027 1321788054 1982682081 2863874117 3965364162 5727748234 8591622351 17183244702 25774867053 51549734106