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163042315041105 = 325233137137339849
BaseRepresentation
bin100101000100100100111111…
…010001010111100101010001
3210101021200201021012010120200
4211010210333101113211101
5132332241130122303410
61334432334442525413
746225263362353623
oct4504447721274521
9711250637163520
10163042315041105
1147a4a948377705
1216352839506869
136cc8a940b6c96
142c3940c274c13
1513cb1889413c0
hex94493f457951

163042315041105 has 96 divisors (see below), whose sum is σ = 312633842227200. Its totient is φ = 78316674923520.

The previous prime is 163042315041103. The next prime is 163042315041113. The reversal of 163042315041105 is 501140513240361.

163042315041105 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 4 + 2 + 31 + 504 + 110 + 5 = 666.

It is not a de Polignac number, because 163042315041105 - 21 = 163042315041103 is a prime.

It is a super-3 number, since 3×1630423150411053 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 163042315041105.

It is not an unprimeable number, because it can be changed into a prime (163042315041103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67482780 + ... + 69857069.

It is an arithmetic number, because the mean of its divisors is an integer number (3256602523200).

Almost surely, 2163042315041105 is an apocalyptic number.

163042315041105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163042315041105 is a deficient number, since it is larger than the sum of its proper divisors (149591527186095).

163042315041105 is a wasteful number, since it uses less digits than its factorization.

163042315041105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137339951 (or 137339948 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 163042315041105 its reverse (501140513240361), we get a palindrome (664182828281466).

The spelling of 163042315041105 in words is "one hundred sixty-three trillion, forty-two billion, three hundred fifteen million, forty-one thousand, one hundred five".

Divisors: 1 3 5 9 15 23 31 37 45 69 93 111 115 155 185 207 279 333 345 465 555 713 851 1035 1147 1395 1665 2139 2553 3441 3565 4255 5735 6417 7659 10323 10695 12765 17205 26381 32085 38295 51615 79143 131905 237429 395715 1187145 137339849 412019547 686699245 1236058641 2060097735 3158816527 4257535319 5081574413 6180293205 9476449581 12772605957 15244723239 15794082635 21287676595 25407872065 28429348743 38317817871 45734169717 47382247905 63863029785 76223616195 97923312337 116876211499 142146743715 157528806803 191589089355 228670848585 293769937011 350628634497 472586420409 489616561685 584381057495 787644034015 881309811033 1051885903491 1417759261227 1468849685055 1753143172485 2362932102045 3623162556469 4406549055165 5259429517455 7088796306135 10869487669407 18115812782345 32608463008221 54347438347035 163042315041105