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92443837044117 = 3131759240055339
BaseRepresentation
bin10101000001001111000010…
…000100011001010110010101
3110010022112200221122001220210
4111001033002010121112111
544104044434240402432
6524340040142520033
725320563313561246
oct2501170204312625
9403275627561823
1092443837044117
1127501236007419
12a450299b96019
133c77554b7a0a0
1418b843c758ccd
15aa4a22a218cc
hex5413c2119595

92443837044117 has 48 divisors (see below), whose sum is σ = 142970646611520. Its totient is φ = 52634636788224.

The previous prime is 92443837044113. The next prime is 92443837044121. The reversal of 92443837044117 is 71144073834429.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (92443837044113) and next prime (92443837044121).

It is not a de Polignac number, because 92443837044117 - 22 = 92443837044113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92443837044113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17719767 + ... + 22335572.

It is an arithmetic number, because the mean of its divisors is an integer number (2978555137740).

Almost surely, 292443837044117 is an apocalyptic number.

It is an amenable number.

92443837044117 is a deficient number, since it is larger than the sum of its proper divisors (50526809567403).

92443837044117 is a wasteful number, since it uses less digits than its factorization.

92443837044117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40055490 (or 40055431 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 92443837044117 in words is "ninety-two trillion, four hundred forty-three billion, eight hundred thirty-seven million, forty-four thousand, one hundred seventeen".

Divisors: 1 3 13 17 39 51 59 177 221 663 767 1003 2301 3009 3481 10443 13039 39117 45253 59177 135759 177531 769301 2307903 40055339 120166017 520719407 680940763 1562158221 2042822289 2363265001 7089795003 8852229919 26556689757 30722445013 40175505017 92167335039 120526515051 139432635059 418297905177 522281565221 1566844695663 1812624255767 2370354796003 5437872767301 7111064388009 30814612348039 92443837044117