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853144693974 = 232373475996163
BaseRepresentation
bin11000110101000110110…
…00101110110011010110
310000120010010020220202200
430122203120232303112
5102434220020201344
61451532415345330
7115431502150536
oct14324330566326
93016103226680
10853144693974
112a98a8a35991
12119418522246
13625b3392661
142d4145a54c6
15172d3cad069
hexc6a362ecd6

853144693974 has 96 divisors (see below), whose sum is σ = 1907398022400. Its totient is φ = 275392892736.

The previous prime is 853144693967. The next prime is 853144693987. The reversal of 853144693974 is 479396441358.

853144693974 is a `hidden beast` number, since 8 + 5 + 31 + 446 + 93 + 9 + 74 = 666.

It is a super-2 number, since 2×8531446939742 (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, 138427017 + ... + 138433179.

It is an arithmetic number, because the mean of its divisors is an integer number (19868729400).

Almost surely, 2853144693974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853144693974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953699011200).

853144693974 is an abundant number, since it is smaller than the sum of its proper divisors (1054253328426).

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

853144693974 is a wasteful number, since it uses less digits than its factorization.

853144693974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154 (or 7151 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 853144693974 in words is "eight hundred fifty-three billion, one hundred forty-four million, six hundred ninety-three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 347 599 666 694 1041 1198 1797 2082 3123 3594 5391 6163 6246 10782 12326 12839 18489 22163 25678 36978 38517 44326 55467 66489 77034 110934 115551 132978 199467 207853 228031 231102 398934 415706 456062 623559 684093 1247118 1368186 1870677 2052279 2138561 3691637 3741354 4104558 4277122 6415683 7383274 7690561 11074911 12831366 15381122 19247049 22149822 23071683 33224733 38494098 46143366 66449466 69215049 79126757 136590569 138430098 158253514 237380271 273181138 409771707 474760542 712140813 819543414 1229315121 1280998039 1424281626 2458630242 2561996078 3842994117 7685988234 11528982351 23057964702 47396927443 94793854886 142190782329 284381564658 426572346987 853144693974