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48008084121 = 324123173249
BaseRepresentation
bin101100101101100000…
…010011101010011001
311120220202200100201200
4230231200103222121
51241310032142441
634015443504413
73316453660554
oct545540235231
9146822610650
1048008084121
11193a6348188
129379988109
1346b119618a
142475d7b69b
1513aea7c7b6
hexb2d813a99

48008084121 has 18 divisors (see below), whose sum is σ = 71077626750. Its totient is φ = 31224760320.

The previous prime is 48008084101. The next prime is 48008084171. The reversal of 48008084121 is 12148080084.

It is a happy number.

48008084121 is a `hidden beast` number, since 480 + 0 + 80 + 84 + 1 + 21 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10783784025 + 37224300096 = 103845^2 + 192936^2 .

It is not a de Polignac number, because 48008084121 - 27 = 48008083993 is a prime.

It is a super-2 number, since 2×480080841212 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48008084101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1571496 + ... + 1601753.

Almost surely, 248008084121 is an apocalyptic number.

48008084121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

48008084121 is a deficient number, since it is larger than the sum of its proper divisors (23069542629).

48008084121 is a wasteful number, since it uses less digits than its factorization.

48008084121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173337 (or 3173293 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 48008084121 in words is "forty-eight billion, eight million, eighty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 41 123 369 1681 5043 15129 3173249 9519747 28559241 130103209 390309627 1170928881 5334231569 16002694707 48008084121