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3855656112 = 2437116591583
BaseRepresentation
bin1110010111010000…
…1010010010110000
3100221201002121212020
43211310022102300
530344021443422
61434332031440
7164355351630
oct34564122260
910851077766
103855656112
1116a9465560
128b7302580
13495a53129
142880dc6c0
1517876195c
hexe5d0a4b0

3855656112 has 160 divisors (see below), whose sum is σ = 12444917760. Its totient is φ = 999317760.

The previous prime is 3855656089. The next prime is 3855656143. The reversal of 3855656112 is 2116565583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2434873 + ... + 2436455.

It is an arithmetic number, because the mean of its divisors is an integer number (77780736).

Almost surely, 23855656112 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 3855656112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222458880).

3855656112 is an abundant number, since it is smaller than the sum of its proper divisors (8589261648).

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

3855656112 is a wasteful number, since it uses less digits than its factorization.

3855656112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2265 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 3855656112 is about 62093.9297516271. The cubic root of 3855656112 is about 1568.0723514963.

The spelling of 3855656112 in words is "three billion, eight hundred fifty-five million, six hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 659 924 1232 1318 1583 1848 1977 2636 3166 3696 3954 4613 4749 5272 6332 7249 7908 9226 9498 10544 11081 12664 13839 14498 15816 17413 18452 18996 21747 22162 25328 27678 28996 31632 33243 34826 36904 37992 43494 44324 50743 52239 55356 57992 66486 69652 73808 75984 86988 88648 101486 104478 110712 115984 121891 132972 139304 152229 173976 177296 202972 208956 221424 243782 265944 278608 304458 347952 365673 405944 417912 487564 531888 608916 731346 811888 835824 975128 1043197 1217832 1462692 1950256 2086394 2435664 2925384 3129591 4172788 5850768 6259182 7302379 8345576 11475167 12518364 14604758 16691152 21907137 22950334 25036728 29209516 34425501 43814274 45900668 50073456 58419032 68851002 80326169 87628548 91801336 116838064 137702004 160652338 175257096 183602672 240978507 275404008 321304676 350514192 481957014 550808016 642609352 963914028 1285218704 1927828056 3855656112