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4426632404640 = 253351024683427
BaseRepresentation
bin100000001101010011111…
…0110100001111010100000
3120200011220121211101221000
41000122213312201322200
51040011220343422030
613225322235032000
7634546035420525
oct100324766417240
916604817741830
104426632404640
111457362654836
125b5ab229b600
13261577c10694
141143705b714c
157a230a26860
hex406a7da1ea0

4426632404640 has 96 divisors (see below), whose sum is σ = 15493213431360. Its totient is φ = 1180435306752.

The previous prime is 4426632404627. The next prime is 4426632404641. The reversal of 4426632404640 is 464042366244.

4426632404640 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 632 + 4 + 0 + 4 + 6 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4426632404641) 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 15 ways as a sum of consecutive naturals, for example, 512337394 + ... + 512346033.

It is an arithmetic number, because the mean of its divisors is an integer number (161387639910).

Almost surely, 24426632404640 is an apocalyptic number.

4426632404640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4426632404640 is an abundant number, since it is smaller than the sum of its proper divisors (11066581026720).

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

4426632404640 is a wasteful number, since it uses less digits than its factorization.

4426632404640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024683451 (or 1024683437 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 4426632404640 in words is "four trillion, four hundred twenty-six billion, six hundred thirty-two million, four hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 1024683427 2049366854 3074050281 4098733708 5123417135 6148100562 8197467416 9222150843 10246834270 12296201124 15370251405 16394934832 18444301686 20493668540 24592402248 27666452529 30740502810 32789869664 36888603372 40987337080 46110754215 49184804496 55332905058 61481005620 73777206744 81974674160 92221508430 98369608992 110665810116 122962011240 138332262645 147554413488 163949348320 184443016860 221331620232 245924022480 276664525290 295108826976 368886033720 442663240464 491848044960 553329050580 737772067440 885326480928 1106658101160 1475544134880 2213316202320 4426632404640