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82855445776470 = 232531105467281579
BaseRepresentation
bin10010110101101101001001…
…011010011100100001010110
3101212100220101110211220010100
4102311231021122130201112
541330000423104321340
6452115133305234530
723311052120546463
oct2265551132344126
9355326343756110
1082855445776470
1124444885116184
129361b35192a46
13373030941c9c3
14166632147a66a
1598a3d870b830
hex4b5b4969c856

82855445776470 has 96 divisors (see below), whose sum is σ = 222376223646720. Its totient is φ = 21381771850560.

The previous prime is 82855445776447. The next prime is 82855445776553. The reversal of 82855445776470 is 7467754455828.

82855445776470 is a `hidden beast` number, since 8 + 2 + 8 + 5 + 5 + 4 + 4 + 577 + 6 + 47 + 0 = 666.

It is a super-2 number, since 2×828554457764702 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 294112141 + ... + 294393719.

It is an arithmetic number, because the mean of its divisors is an integer number (2316418996320).

Almost surely, 282855445776470 is an apocalyptic number.

82855445776470 is an abundant number, since it is smaller than the sum of its proper divisors (139520777870250).

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

82855445776470 is a wasteful number, since it uses less digits than its factorization.

82855445776470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387090 (or 387087 counting only the distinct ones).

The product of its (nonzero) digits is 2107392000, while the sum is 72.

The spelling of 82855445776470 in words is "eighty-two trillion, eight hundred fifty-five billion, four hundred forty-five million, seven hundred seventy-six thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 105467 210934 281579 316401 527335 563158 632802 844737 949203 1054670 1407895 1582005 1689474 1898406 2534211 2815790 3164010 3269477 4223685 4746015 5068422 6538954 8447370 8728949 9492030 9808431 12671055 16347385 17457898 19616862 25342110 26186847 29425293 32694770 43644745 49042155 52373694 58850586 78560541 87289490 98084310 130934235 147126465 157121082 261868470 294252930 392802705 785605410 29697292393 59394584786 89091877179 148486461965 178183754358 267275631537 296972923930 445459385895 534551263074 890918771790 920616064183 1336378157685 1841232128366 2672756315370 2761848192549 4603080320915 5523696385098 8285544577647 9206160641830 13809240962745 16571089155294 27618481925490 41427722888235 82855445776470