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1058114728055 = 5711191514632069
BaseRepresentation
bin11110110010111001000…
…11010111000001110111
310202011011211112111022102
433121130203113001313
5114314004332244210
62130031410452315
7136306032535040
oct17313443270167
93664154474272
101058114728055
113788201a7270
121510a059409b
1378a1a27aaa8
14392da7878c7
151c7cd719ea5
hexf65c8d7077

1058114728055 has 128 divisors (see below), whose sum is σ = 1681838899200. Its totient is φ = 619109568000.

The previous prime is 1058114728049. The next prime is 1058114728129. The reversal of 1058114728055 is 5508274118501.

It is not a de Polignac number, because 1058114728055 - 24 = 1058114728039 is a prime.

It is a super-2 number, since 2×10581147280552 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 511412561 + ... + 511414629.

It is an arithmetic number, because the mean of its divisors is an integer number (13139366400).

Almost surely, 21058114728055 is an apocalyptic number.

1058114728055 is a deficient number, since it is larger than the sum of its proper divisors (623724171145).

1058114728055 is a wasteful number, since it uses less digits than its factorization.

1058114728055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725.

The product of its (nonzero) digits is 448000, while the sum is 47.

The spelling of 1058114728055 in words is "one trillion, fifty-eight billion, one hundred fourteen million, seven hundred twenty-eight thousand, fifty-five".

Divisors: 1 5 7 11 19 35 55 77 95 133 151 209 385 463 665 755 1045 1057 1463 1661 2069 2315 2869 3241 5093 5285 7315 8305 8797 10345 11627 14345 14483 16205 20083 22759 25465 31559 35651 39311 43985 58135 61579 69913 72415 96767 100415 113795 157795 159313 178255 196555 220913 275177 307895 312419 349565 432421 483835 489391 677369 769043 796565 957947 1104565 1328347 1375885 1562095 2162105 2186933 2446955 3026947 3386845 3436609 3845215 4789735 5383301 5935961 6641735 6705629 9298429 10537417 10934665 14611817 15134735 17183045 18200993 24056263 26916505 29679805 33528145 41551727 46492145 52687085 65295571 73059085 73761919 91004965 102282719 120281315 127406951 144649997 200210923 207758635 326477855 368809595 457068997 511413595 637034755 723249985 1001054615 1012549979 1401476461 1591149967 2285344985 2748349943 5062749895 7007382305 7955749835 11138049769 13741749715 19238449601 30231849373 55690248845 96192248005 151159246865 211622945611 1058114728055