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11006454166134 = 2371094003600601
BaseRepresentation
bin1010000000101010001111…
…0010100111001001110110
31102222012120201022021210120
42200022203302213021312
52420312204231304014
635224143434432410
72214122123532240
oct240124362471166
942865521267716
1011006454166134
1135638a1491509
12129915b292706
1361ab9a617b7b
142a0a02809090
15141483104ba9
hexa02a3ca7276

11006454166134 has 64 divisors (see below), whose sum is σ = 25394797908480. Its totient is φ = 3115067155200.

The previous prime is 11006454166121. The next prime is 11006454166153. The reversal of 11006454166134 is 43166145460011.

It is a super-2 number, since 2×110064541661342 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18025434 + ... + 18626034.

It is an arithmetic number, because the mean of its divisors is an integer number (396793717320).

Almost surely, 211006454166134 is an apocalyptic number.

11006454166134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11006454166134 is an abundant number, since it is smaller than the sum of its proper divisors (14388343742346).

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

11006454166134 is a wasteful number, since it uses less digits than its factorization.

11006454166134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604725.

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 11006454166134 in words is "eleven trillion, six billion, four hundred fifty-four million, one hundred sixty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 109 218 327 654 763 1526 2289 4003 4578 8006 12009 24018 28021 56042 84063 168126 436327 600601 872654 1201202 1308981 1801803 2617962 3054289 3603606 4204207 6108578 8408414 9162867 12612621 18325734 25225242 65465509 130931018 196396527 392793054 458258563 916517126 1374775689 2404205803 2749551378 4808411606 7212617409 14425234818 16829440621 33658881242 50488321863 100976643726 262058432527 524116865054 786175297581 1572350595162 1834409027689 3668818055378 5503227083067 11006454166134