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4374652668 = 22329312103127
BaseRepresentation
bin1000001001011111…
…11110011011111100
3102021212200101021220
410010233332123330
532424402341133
62002031553340
7213256635261
oct40457763374
912255611256
104374652668
111945417331
12a2108b850
13549429999
142d6ddb268
151a90cd5b3
hex104bfe6fc

4374652668 has 144 divisors (see below), whose sum is σ = 11103805440. Its totient is φ = 1338664320.

The previous prime is 4374652651. The next prime is 4374652673. The reversal of 4374652668 is 8662564734.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4374652668.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34446021 + ... + 34446147.

It is an arithmetic number, because the mean of its divisors is an integer number (77109760).

Almost surely, 24374652668 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 4374652668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551902720).

4374652668 is an abundant number, since it is smaller than the sum of its proper divisors (6729152772).

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

4374652668 is a wasteful number, since it uses less digits than its factorization.

4374652668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 295 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The square root of 4374652668 is about 66141.1571413745. The cubic root of 4374652668 is about 1635.4898721963.

The spelling of 4374652668 in words is "four billion, three hundred seventy-four million, six hundred fifty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 103 116 124 127 174 186 206 254 309 348 372 381 412 508 618 762 899 961 1236 1524 1798 1922 2697 2883 2987 3193 3596 3683 3844 3937 5394 5766 5974 6386 7366 7874 8961 9579 10788 11049 11532 11811 11948 12772 13081 14732 15748 17922 19158 22098 23622 26162 27869 35844 38316 39243 44196 47244 52324 55738 78486 83607 92597 98983 111476 114173 122047 156972 167214 185194 197966 228346 244094 277791 296949 334428 342519 366141 370388 379349 395932 405511 456692 488188 555582 593898 685038 732282 758698 811022 1111164 1138047 1187796 1216533 1370076 1464564 1517396 1622044 2276094 2433066 2870507 3539363 4552188 4866132 5741014 7078726 8611521 10618089 11482028 11759819 12570841 14157452 17223042 21236178 23519638 25141682 34446084 35279457 37712523 42472356 47039276 50283364 70558914 75425046 141117828 150850092 364554389 729108778 1093663167 1458217556 2187326334 4374652668