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2085683556 = 22311173532633
BaseRepresentation
bin111110001010001…
…0000000101100100
312101100120200222010
41330110100011210
513232413333211
6542543234220
7102454006035
oct17424200544
95340520863
102085683556
1198034aa20
124a25a8970
132731476a8
1415b000a8c
15c318a4a6
hex7c510164

2085683556 has 96 divisors (see below), whose sum is σ = 5639372928. Its totient is φ = 592936960.

The previous prime is 2085683549. The next prime is 2085683569. The reversal of 2085683556 is 6553865802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790816 + ... + 793448.

It is an arithmetic number, because the mean of its divisors is an integer number (58743468).

Almost surely, 22085683556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085683556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819686464).

2085683556 is an abundant number, since it is smaller than the sum of its proper divisors (3553689372).

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

2085683556 is a wasteful number, since it uses less digits than its factorization.

2085683556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The square root of 2085683556 is about 45669.2846013598. The cubic root of 2085683556 is about 1277.6624729179.

The spelling of 2085683556 in words is "two billion, eighty-five million, six hundred eighty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 353 374 561 706 748 1059 1122 1412 2118 2244 2633 3883 4236 5266 6001 7766 7899 10532 11649 12002 15532 15798 18003 23298 24004 28963 31596 36006 44761 46596 57926 66011 72012 86889 89522 115852 132022 134283 173778 179044 198033 264044 268566 347556 396066 492371 537132 792132 929449 984742 1477113 1858898 1969484 2788347 2954226 3717796 5576694 5908452 10223939 11153388 15800633 20447878 30671817 31601266 40895756 47401899 61343634 63202532 94803798 122687268 173806963 189607596 347613926 521420889 695227852 1042841778 2085683556