Search a number
-
+
4484842048608 = 253672512777969
BaseRepresentation
bin100000101000011010101…
…1010101100110001100000
3120212202011100112200220120
41001100311122230301200
51041434424031023413
613312150305440240
7642006365265405
oct101206532546140
916782140480816
104484842048608
11147a013464909
12605238640080
13266bc37762ac
141170d33842ac
157b9daec8723
hex414356acc60

4484842048608 has 96 divisors (see below), whose sum is σ = 11996030067840. Its totient is φ = 1466767104000.

The previous prime is 4484842048571. The next prime is 4484842048613. The reversal of 4484842048608 is 8068402484844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×44848420486082 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225448 + ... + 3003416.

It is an arithmetic number, because the mean of its divisors is an integer number (124958646540).

Almost surely, 24484842048608 is an apocalyptic number.

4484842048608 is a gapful number since it is divisible by the number (48) 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 4484842048608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998015033920).

4484842048608 is an abundant number, since it is smaller than the sum of its proper divisors (7511188019232).

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

4484842048608 is a wasteful number, since it uses less digits than its factorization.

4484842048608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778300 (or 2778292 counting only the distinct ones).

The product of its (nonzero) digits is 50331648, while the sum is 60.

The spelling of 4484842048608 in words is "four trillion, four hundred eighty-four billion, eight hundred forty-two million, forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 251 268 402 502 536 753 804 1004 1072 1506 1608 2008 2144 3012 3216 4016 6024 6432 8032 12048 16817 24096 33634 50451 67268 100902 134536 201804 269072 403608 538144 807216 1614432 2777969 5555938 8333907 11111876 16667814 22223752 33335628 44447504 66671256 88895008 133342512 186123923 266685024 372247846 558371769 697270219 744495692 1116743538 1394540438 1488991384 2091810657 2233487076 2789080876 2977982768 4183621314 4466974152 5578161752 5955965536 8367242628 8933948304 11156323504 16734485256 17867896608 22312647008 33468970512 46717104673 66937941024 93434209346 140151314019 186868418692 280302628038 373736837384 560605256076 747473674768 1121210512152 1494947349536 2242421024304 4484842048608