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3218112672 = 253100933223
BaseRepresentation
bin1011111111010000…
…1000000010100000
322022021110001200020
42333310020002200
523042314101142
61251155153440
7142514335455
oct27764100240
98267401606
103218112672
1114015a4755
127598a5880
133c3940ba8
1422758182c
1513c7c9cec
hexbfd080a0

3218112672 has 48 divisors (see below), whose sum is σ = 8456172480. Its totient is φ = 1071608832.

The previous prime is 3218112659. The next prime is 3218112713. The reversal of 3218112672 is 2762118123.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80253 + ... + 113475.

It is an arithmetic number, because the mean of its divisors is an integer number (176170260).

Almost surely, 23218112672 is an apocalyptic number.

3218112672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3218112672 is an abundant number, since it is smaller than the sum of its proper divisors (5238059808).

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

3218112672 is a wasteful number, since it uses less digits than its factorization.

3218112672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34245 (or 34237 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 3218112672 is about 56728.4115060522. The cubic root of 3218112672 is about 1476.3876890839.

The spelling of 3218112672 in words is "three billion, two hundred eighteen million, one hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1009 2018 3027 4036 6054 8072 12108 16144 24216 32288 33223 48432 66446 96864 99669 132892 199338 265784 398676 531568 797352 1063136 1594704 3189408 33522007 67044014 100566021 134088028 201132042 268176056 402264084 536352112 804528168 1072704224 1609056336 3218112672