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3664266112 = 27132233727
BaseRepresentation
bin1101101001101000…
…0100001110000000
3100110100222000010201
43122122010032000
530001023003422
61403333534544
7156542514403
oct33232041600
910410860121
103664266112
111610423401
128631a4454
134651c1b00
1426a91bd3a
15166a58727
hexda684380

3664266112 has 96 divisors (see below), whose sum is σ = 7949476080. Its totient is φ = 1681625088.

The previous prime is 3664266079. The next prime is 3664266121. The reversal of 3664266112 is 2116624663.

It is a super-2 number, since 2×36642661122 = 26853692279103193088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5039893 + ... + 5040619.

Almost surely, 23664266112 is an apocalyptic number.

3664266112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3664266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974738040).

3664266112 is an abundant number, since it is smaller than the sum of its proper divisors (4285209968).

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

3664266112 is a wasteful number, since it uses less digits than its factorization.

3664266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 975 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 3664266112 is about 60533.1819087680. The cubic root of 3664266112 is about 1541.6850774147.

The spelling of 3664266112 in words is "three billion, six hundred sixty-four million, two hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 233 338 416 466 676 727 832 932 1352 1454 1664 1864 2704 2908 3029 3728 5408 5816 6058 7456 9451 10816 11632 12116 14912 18902 21632 23264 24232 29824 37804 39377 46528 48464 75608 78754 93056 96928 122863 151216 157508 169391 193856 245726 302432 315016 338782 387712 491452 604864 630032 677564 982904 1209728 1260064 1355128 1965808 2202083 2520128 2710256 3931616 4404166 5040256 5420512 7863232 8808332 10841024 15726464 17616664 21682048 28627079 35233328 57254158 70466656 114508316 140933312 229016632 281866624 458033264 916066528 1832133056 3664266112