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1055011001166 = 232434745916317
BaseRepresentation
bin11110101101000111000…
…11100101001101001110
310201212011112022211102200
433112203203211031032
5114241130304014131
62124355415102330
7136136104355433
oct17264343451516
93655145284380
101055011001166
1137747822a321
121505750719a6
13786442495c5
14390c449db8a
151c69aed72e6
hexf5a38e534e

1055011001166 has 96 divisors (see below), whose sum is σ = 2389681502208. Its totient is φ = 336057180480.

The previous prime is 1055011001153. The next prime is 1055011001173. The reversal of 1055011001166 is 6611001105501.

1055011001166 is a `hidden beast` number, since 1 + 0 + 550 + 1 + 100 + 1 + 1 + 6 + 6 = 666.

It is a super-2 number, since 2×10550110011662 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 167008240 + ... + 167014556.

It is an arithmetic number, because the mean of its divisors is an integer number (24892515648).

Almost surely, 21055011001166 is an apocalyptic number.

1055011001166 is an abundant number, since it is smaller than the sum of its proper divisors (1334670501042).

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

1055011001166 is a wasteful number, since it uses less digits than its factorization.

1055011001166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11006 (or 11003 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 1055011001166 its reverse (6611001105501), we get a palindrome (7666012106667).

The spelling of 1055011001166 in words is "one trillion, fifty-five billion, eleven million, one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 43 47 86 94 129 141 258 282 387 423 774 846 2021 4042 4591 6063 6317 9182 12126 12634 13773 18189 18951 27546 36378 37902 41319 56853 82638 113706 197413 215777 271631 296899 394826 431554 543262 592239 593798 647331 814893 890697 1184478 1294662 1629786 1776717 1781394 1941993 2444679 2672091 3553434 3883986 4889358 5344182 9278411 12766657 18556822 25533314 27835233 29001347 38299971 55670466 58002694 76599942 83505699 87004041 114899913 167011398 174008082 229799826 261012123 522024246 1247057921 1363063309 2494115842 2726126618 3741173763 4089189927 7482347526 8178379854 11223521289 12267569781 22447042578 24535139562 58611722287 117223444574 175835166861 351670333722 527505500583 1055011001166