Search a number
-
+
484277415168 = 2831571401381
BaseRepresentation
bin1110000110000010010…
…11101110110100000000
31201022000010101122111210
413003001023232310000
530413300004241133
61010250213410120
746662563052531
oct7030113566400
91638003348453
10484277415168
11177420a80838
1279a33639940
13368899b5841
1419621066688
15c8e5689763
hex70c12eed00

484277415168 has 72 divisors (see below), whose sum is σ = 1289707798176. Its totient is φ = 161322649600.

The previous prime is 484277415151. The next prime is 484277415169. The reversal of 484277415168 is 861514772484.

It is a super-2 number, since 2×4842774151682 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484277415169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1005838 + ... + 1407218.

It is an arithmetic number, because the mean of its divisors is an integer number (17912608308).

Almost surely, 2484277415168 is an apocalyptic number.

484277415168 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 484277415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644853899088).

484277415168 is an abundant number, since it is smaller than the sum of its proper divisors (805430383008).

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

484277415168 is a wasteful number, since it uses less digits than its factorization.

484277415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402971 (or 402957 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 57.

The spelling of 484277415168 in words is "four hundred eighty-four billion, two hundred seventy-seven million, four hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1571 3142 4713 6284 9426 12568 18852 25136 37704 50272 75408 100544 150816 201088 301632 401381 402176 603264 802762 1204143 1206528 1605524 2408286 3211048 4816572 6422096 9633144 12844192 19266288 25688384 38532576 51376768 77065152 102753536 154130304 308260608 630569551 1261139102 1891708653 2522278204 3783417306 5044556408 7566834612 10089112816 15133669224 20178225632 30267338448 40356451264 60534676896 80712902528 121069353792 161425805056 242138707584 484277415168