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4418849952 = 2532112296091
BaseRepresentation
bin1000001110110001…
…00100110010100000
3102101221211211120100
410013120210302200
533022211144302
62010251142400
7214334414316
oct40730446240
912357754510
104418849952
111968364410
12a33a44a00
13555632b1a
142dcc240b6
151ace0dd1c
hex107624ca0

4418849952 has 144 divisors (see below), whose sum is σ = 13770600480. Its totient is φ = 1332979200.

The previous prime is 4418849951. The next prime is 4418849959. The reversal of 4418849952 is 2599488144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4418849951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722427 + ... + 728517.

It is an arithmetic number, because the mean of its divisors is an integer number (95629170).

Almost surely, 24418849952 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 4418849952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885300240).

4418849952 is an abundant number, since it is smaller than the sum of its proper divisors (9351750528).

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

4418849952 is a wasteful number, since it uses less digits than its factorization.

4418849952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6347 (or 6336 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 4418849952 is about 66474.4308136595. The cubic root of 4418849952 is about 1640.9792327594.

The spelling of 4418849952 in words is "four billion, four hundred eighteen million, eight hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 229 264 288 352 396 458 528 687 792 916 1056 1374 1584 1832 2061 2519 2748 3168 3664 4122 5038 5496 6091 7328 7557 8244 10076 10992 12182 15114 16488 18273 20152 21984 22671 24364 30228 32976 36546 40304 45342 48728 54819 60456 65952 67001 73092 80608 90684 97456 109638 120912 134002 146184 181368 194912 201003 219276 241824 268004 292368 362736 402006 438552 536008 584736 603009 725472 804012 877104 1072016 1206018 1394839 1608024 1754208 2144032 2412036 2789678 3216048 4184517 4824072 5579356 6432096 8369034 9648144 11158712 12553551 15343229 16738068 19296288 22317424 25107102 30686458 33476136 44634848 46029687 50214204 61372916 66952272 92059374 100428408 122745832 133904544 138089061 184118748 200856816 245491664 276178122 368237496 401713632 490983328 552356244 736474992 1104712488 1472949984 2209424976 4418849952