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13955441168 = 241760185369
BaseRepresentation
bin11001111111100111…
…10010001000010000
31100000120121212100102
430333303302020100
5212040043104133
610224441311532
71002554202254
oct147763621020
940016555312
1013955441168
115a11534559
1228557955a8
13141530a2c6
149655d8264
1556a2807e8
hex33fcf2210

13955441168 has 40 divisors (see below), whose sum is σ = 28677148920. Its totient is φ = 6556262400.

The previous prime is 13955441131. The next prime is 13955441173. The reversal of 13955441168 is 86114455931.

13955441168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1791998224 + 12163442944 = 42332^2 + 110288^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 120788 + ... + 206156.

It is an arithmetic number, because the mean of its divisors is an integer number (716928723).

Almost surely, 213955441168 is an apocalyptic number.

It is an amenable number.

13955441168 is an abundant number, since it is smaller than the sum of its proper divisors (14721707752).

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

13955441168 is a wasteful number, since it uses less digits than its factorization.

13955441168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85995 (or 85989 counting only the distinct ones).

The product of its digits is 518400, while the sum is 47.

The spelling of 13955441168 in words is "thirteen billion, nine hundred fifty-five million, four hundred forty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 601 1202 2404 4808 9616 10217 20434 40868 81736 85369 163472 170738 341476 682952 1365904 1451273 2902546 5805092 11610184 23220368 51306769 102613538 205227076 410454152 820908304 872215073 1744430146 3488860292 6977720584 13955441168