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3968663664 = 24373241051
BaseRepresentation
bin1110110010001101…
…0000000001110000
3101020120202000002010
43230203100001300
531111434214124
61453450122520
7200230041000
oct35443200160
911216660063
103968663664
111757230829
12929120440
134b329c3c4
14299118000
15183635529
hexec8d0070

3968663664 has 80 divisors (see below), whose sum is σ = 11956179200. Its totient is φ = 1133899200.

The previous prime is 3968663663. The next prime is 3968663681. The reversal of 3968663664 is 4663668693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968663663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104062 + ... + 136989.

It is an arithmetic number, because the mean of its divisors is an integer number (149452240).

Almost surely, 23968663664 is an apocalyptic number.

It is an amenable number.

3968663664 is an abundant number, since it is smaller than the sum of its proper divisors (7987515536).

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

3968663664 is a wasteful number, since it uses less digits than its factorization.

3968663664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241083 (or 241063 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 57.

The square root of 3968663664 is about 62997.3306101139. The cubic root of 3968663664 is about 1583.2449020626.

The spelling of 3968663664 in words is "three billion, nine hundred sixty-eight million, six hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5488 8232 16464 241051 482102 723153 964204 1446306 1687357 1928408 2892612 3374714 3856816 5062071 5785224 6749428 10124142 11570448 11811499 13498856 20248284 23622998 26997712 35434497 40496568 47245996 70868994 80993136 82680493 94491992 141737988 165360986 188983984 248041479 283475976 330721972 496082958 566951952 661443944 992165916 1322887888 1984331832 3968663664