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2886142656 = 26331974999
BaseRepresentation
bin1010110000000111…
…0000101011000000
321110010210020102110
42230001300223000
521402323031111
61154220015320
7131343544035
oct25401605300
97403706373
102886142656
111251174771
12686691540
1336cc2b527
141d544938c
1511d5a35a6
hexac070ac0

2886142656 has 112 divisors (see below), whose sum is σ = 7965440000. Its totient is φ = 921231360.

The previous prime is 2886142631. The next prime is 2886142661. The reversal of 2886142656 is 6562416882.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574845 + ... + 579843.

It is an arithmetic number, because the mean of its divisors is an integer number (71120000).

Almost surely, 22886142656 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 2886142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982720000).

2886142656 is an abundant number, since it is smaller than the sum of its proper divisors (5079297344).

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

2886142656 is a wasteful number, since it uses less digits than its factorization.

2886142656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 5132 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 2886142656 is about 53722.8317943126. The cubic root of 2886142656 is about 1423.7681207253.

It can be divided in two parts, 28861 and 42656, that added together give a palindrome (71517).

The spelling of 2886142656 in words is "two billion, eight hundred eighty-six million, one hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 97 124 186 192 194 248 291 372 388 496 582 744 776 992 1164 1488 1552 1984 2328 2976 3007 3104 4656 4999 5952 6014 6208 9021 9312 9998 12028 14997 18042 18624 19996 24056 29994 36084 39992 48112 59988 72168 79984 96224 119976 144336 154969 159968 192448 239952 288672 309938 319936 464907 479904 484903 577344 619876 929814 959808 969806 1239752 1454709 1859628 1939612 2479504 2909418 3719256 3879224 4959008 5818836 7438512 7758448 9918016 11637672 14877024 15031993 15516896 23275344 29754048 30063986 31033792 45095979 46550688 60127972 90191958 93101376 120255944 180383916 240511888 360767832 481023776 721535664 962047552 1443071328 2886142656