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3999653964 = 2234197223281
BaseRepresentation
bin1110111001100101…
…1110000001001100
3101022202001110210000
43232121132001030
531142402411324
61500514244300
7201054332505
oct35631360114
911282043700
103999653964
111772778249
12937586690
134b9830067
1429d2a3bac
151862079c9
hexee65e04c

3999653964 has 120 divisors (see below), whose sum is σ = 10593652608. Its totient is φ = 1315802880.

The previous prime is 3999653941. The next prime is 3999654011. The reversal of 3999653964 is 4693569993.

3999653964 is a `hidden beast` number, since 3 + 9 + 9 + 96 + 539 + 6 + 4 = 666.

3999653964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14233504 + ... + 14233784.

Almost surely, 23999653964 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 3999653964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296826304).

3999653964 is an abundant number, since it is smaller than the sum of its proper divisors (6593998644).

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

3999653964 is a wasteful number, since it uses less digits than its factorization.

3999653964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 706 counting only the distinct ones).

The product of its digits is 42515280, while the sum is 63.

The square root of 3999653964 is about 63242.8174894193. The cubic root of 3999653964 is about 1587.3552758223.

The spelling of 3999653964 in words is "three billion, nine hundred ninety-nine million, six hundred fifty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 223 281 324 394 446 562 591 669 788 843 892 1124 1182 1338 1686 1773 2007 2364 2529 2676 3372 3546 4014 5058 5319 6021 7092 7587 8028 10116 10638 12042 15174 15957 18063 21276 22761 24084 30348 31914 36126 43931 45522 55357 62663 63828 72252 87862 91044 110714 125326 131793 166071 175724 187989 221428 250652 263586 332142 375978 395379 498213 527172 563967 664284 751956 790758 996426 1127934 1186137 1494639 1581516 1691901 1992852 2255868 2372274 2989278 3383802 3558411 4483917 4744548 5075703 5978556 6767604 7116822 8967834 10151406 12344611 14233644 17935668 20302812 24689222 37033833 49378444 74067666 111101499 148135332 222202998 333304497 444405996 666608994 999913491 1333217988 1999826982 3999653964