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41095163385 = 3253375415009
BaseRepresentation
bin100110010001011101…
…100110110111111001
310221001222210121020100
4212101131212313321
51133130330212020
630513455550013
72653243060653
oct462135466771
9127058717210
1041095163385
111647916a551
127b6a82b309
133b4bc2b933
141dbbc0b6d3
151107c14a90
hex991766df9

41095163385 has 48 divisors (see below), whose sum is σ = 71589332880. Its totient is φ = 21807636480.

The previous prime is 41095163363. The next prime is 41095163393. The reversal of 41095163385 is 58336159014.

41095163385 is a `hidden beast` number, since 4 + 1 + 0 + 9 + 5 + 1 + 633 + 8 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2643090921 + 38452072464 = 51411^2 + 196092^2 .

It is not a de Polignac number, because 41095163385 - 29 = 41095162873 is a prime.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 41095163385.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8201761 + ... + 8206769.

It is an arithmetic number, because the mean of its divisors is an integer number (1491444435).

Almost surely, 241095163385 is an apocalyptic number.

41095163385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41095163385 is a deficient number, since it is larger than the sum of its proper divisors (30494169495).

41095163385 is a wasteful number, since it uses less digits than its factorization.

41095163385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5895 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

It can be divided in two parts, 41095 and 163385, that added together give a triangular number (204480 = T639).

The spelling of 41095163385 in words is "forty-one billion, ninety-five million, one hundred sixty-three thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 337 541 1011 1623 1685 2705 3033 4869 5009 5055 8115 15027 15165 24345 25045 45081 75135 182317 225405 546951 911585 1640853 1688033 2709869 2734755 5064099 8129607 8204265 8440165 13549345 15192297 24388821 25320495 40648035 75961485 121944105 913225853 2739677559 4566129265 8219032677 13698387795 41095163385