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872820465858 = 232117162087101
BaseRepresentation
bin11001011001110000010…
…01110110000011000010
310002102220100200200122200
430230320021312003002
5103300014014401413
61504545043414030
7120026206356135
oct14547011660302
93072810620580
10872820465858
11307185442590
121211a9984316
13643ca838723
143035d7ac21c
1517a86331573
hexcb382760c2

872820465858 has 48 divisors (see below), whose sum is σ = 2092086988992. Its totient is φ = 260765820000.

The previous prime is 872820465857. The next prime is 872820466027. The reversal of 872820465858 is 858564028278.

872820465858 is a `hidden beast` number, since 8 + 7 + 2 + 8 + 2 + 0 + 46 + 585 + 8 = 666.

It is a super-2 number, since 2×8728204658582 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 872820465795 and 872820465804.

It is not an unprimeable number, because it can be changed into a prime (872820465851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31029493 + ... + 31057608.

It is an arithmetic number, because the mean of its divisors is an integer number (43585145604).

Almost surely, 2872820465858 is an apocalyptic number.

872820465858 is an abundant number, since it is smaller than the sum of its proper divisors (1219266523134).

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

872820465858 is a wasteful number, since it uses less digits than its factorization.

872820465858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62087191 (or 62087188 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 872820465858 in words is "eight hundred seventy-two billion, eight hundred twenty million, four hundred sixty-five thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1562 2343 4686 7029 14058 62087101 124174202 186261303 372522606 558783909 682958111 1117567818 1365916222 2048874333 4097748666 4408184171 6146622999 8816368342 12293245998 13224552513 26449105026 39673657539 48490025881 79347315078 96980051762 145470077643 290940155286 436410232929 872820465858