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805601452344 = 2331331493716871
BaseRepresentation
bin10111011100100011001…
…01101010000100111000
32212000101202021000001120
423232101211222010320
5101144332432433334
61414031014545240
7112126361234613
oct13562145520470
92760352230046
10805601452344
11290721021857
1211016a368220
135ac775c1c10
142adc426b17a
1515e4ee51949
hexbb9196a138

805601452344 has 128 divisors (see below), whose sum is σ = 2239478599680. Its totient is φ = 239818521600.

The previous prime is 805601452343. The next prime is 805601452471. The reversal of 805601452344 is 443254106508.

It is a junction number, because it is equal to n+sod(n) for n = 805601452296 and 805601452305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805601452343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47742229 + ... + 47759099.

It is an arithmetic number, because the mean of its divisors is an integer number (17495926560).

Almost surely, 2805601452344 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 805601452344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119739299840).

805601452344 is an abundant number, since it is smaller than the sum of its proper divisors (1433877147336).

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

805601452344 is a wasteful number, since it uses less digits than its factorization.

805601452344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21861 (or 21857 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 805601452344 in words is "eight hundred five billion, six hundred one million, four hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 4937 9672 9874 14811 16871 19748 29622 33742 39496 50613 59244 64181 67484 101226 118488 128362 134968 153047 192543 202452 219323 256724 306094 385086 404904 438646 459141 513448 523001 612188 657969 770172 877292 918282 1046002 1224376 1315938 1540344 1569003 1754584 1836564 1989611 2092004 2631876 3138006 3673128 3979222 4184008 5263752 5968833 6276012 6799013 7958444 11937666 12552024 13598026 15916888 20397039 23875332 27196052 40794078 47750664 54392104 81588156 83292127 163176312 166584254 249876381 333168508 499752762 666337016 999505524 1082797651 1999011048 2165595302 2582055937 3248392953 4331190604 5164111874 6496785906 7746167811 8662381208 10328223748 12993571812 15492335622 20656447496 25987143624 30984671244 33566727181 61969342488 67133454362 100700181543 134266908724 201400363086 268533817448 402800726172 805601452344