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9955660141 = 726920392593
BaseRepresentation
bin10010100010110011…
…10101000101101101
3221200211022221021101
421101121311011231
5130342122111031
64323520203101
7501465500140
oct112131650555
927624287241
109955660141
11424978a8a9
121b1a169491
13c2876447b
146a6300057
153d4050361
hex25167516d

9955660141 has 16 divisors (see below), whose sum is σ = 11430201600. Its totient is φ = 8494253568.

The previous prime is 9955660073. The next prime is 9955660163. The reversal of 9955660141 is 1410665599.

It is a happy number.

9955660141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9955660141 - 211 = 9955658093 is a prime.

It is a super-2 number, since 2×99556601412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9955660091 and 9955660100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9950660141) 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 15 ways as a sum of consecutive naturals, for example, 3838141 + ... + 3840733.

It is an arithmetic number, because the mean of its divisors is an integer number (714387600).

Almost surely, 29955660141 is an apocalyptic number.

It is an amenable number.

9955660141 is a deficient number, since it is larger than the sum of its proper divisors (1474541459).

9955660141 is a wasteful number, since it uses less digits than its factorization.

9955660141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908.

The product of its (nonzero) digits is 291600, while the sum is 46.

The square root of 9955660141 is about 99778.0544057660. The cubic root of 9955660141 is about 2151.2457277602.

The spelling of 9955660141 in words is "nine billion, nine hundred fifty-five million, six hundred sixty thousand, one hundred forty-one".

Divisors: 1 7 269 1883 2039 2593 14273 18151 548491 697517 3839437 4882619 5287127 37009889 1422237163 9955660141