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852057939312 = 243313841142501
BaseRepresentation
bin11000110011000101001…
…11000101110101110000
310000110022101100001122000
430121202213011311300
5102430003313024222
61451232514414000
7115362534661566
oct14314247056560
93013271301560
10852057939312
112a93a0548038
12119174591300
136246c19b768
142d350113a36
151726d6919ac
hexc6629c5d70

852057939312 has 80 divisors (see below), whose sum is σ = 2445915728160. Its totient is φ = 283996800000.

The previous prime is 852057939311. The next prime is 852057939331. The reversal of 852057939312 is 213939750258.

852057939312 is a `hidden beast` number, since 8 + 5 + 2 + 0 + 579 + 39 + 31 + 2 = 666.

It is a super-2 number, since 2×8520579393122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852057939311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5908062 + ... + 6050562.

It is an arithmetic number, because the mean of its divisors is an integer number (30573946602).

Almost surely, 2852057939312 is an apocalyptic number.

It is an amenable number.

852057939312 is an abundant number, since it is smaller than the sum of its proper divisors (1593857788848).

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

852057939312 is a wasteful number, since it uses less digits than its factorization.

852057939312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156359 (or 156347 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 852057939312 in words is "eight hundred fifty-two billion, fifty-seven million, nine hundred thirty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 13841 27682 41523 55364 83046 110728 124569 142501 166092 221456 249138 285002 332184 373707 427503 498276 570004 664368 747414 855006 996552 1140008 1282509 1494828 1710012 1993104 2280016 2565018 2989656 3420024 3847527 5130036 5979312 6840048 7695054 10260072 15390108 20520144 30780216 61560432 1972356341 3944712682 5917069023 7889425364 11834138046 15778850728 17751207069 23668276092 31557701456 35502414138 47336552184 53253621207 71004828276 94673104368 106507242414 142009656552 213014484828 284019313104 426028969656 852057939312