Search a number
-
+
551303045342336 = 2773011204348581
BaseRepresentation
bin111110101011010000011111…
…0001011100110010010000000
32200022000001112010102210010102
41331112200332023212102000
51034230022114101423321
65232305042255021532
7224060221254301460
oct17526407613462200
92608001463383112
10551303045342336
1114a7313437228a1
12519ba28250a8a8
131a8808670ac9c1
149a1d2d1859ba0
1543b09cd9d1c0b
hex1f5683e2e6480

551303045342336 has 64 divisors (see below), whose sum is σ = 1255615775127360. Its totient is φ = 236194262707200.

The previous prime is 551303045342303. The next prime is 551303045342341. The reversal of 551303045342336 is 633243540303155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99476435 + ... + 104872146.

It is an arithmetic number, because the mean of its divisors is an integer number (19618996486365).

Almost surely, 2551303045342336 is an apocalyptic number.

551303045342336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

551303045342336 is an abundant number, since it is smaller than the sum of its proper divisors (704312729785024).

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

551303045342336 is a wasteful number, since it uses less digits than its factorization.

551303045342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204351613 (or 204351601 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 47.

The spelling of 551303045342336 in words is "five hundred fifty-one trillion, three hundred three billion, forty-five million, three hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 3011 6022 12044 21077 24088 42154 48176 84308 96352 168616 192704 337232 385408 674464 1348928 2697856 204348581 408697162 817394324 1430440067 1634788648 2860880134 3269577296 5721760268 6539154592 11443520536 13078309184 22887041072 26156618368 45774082144 91548164288 183096328576 615293577391 1230587154782 2461174309564 4307055041737 4922348619128 8614110083474 9844697238256 17228220166948 19689394476512 34456440333896 39378788953024 68912880667792 78757577906048 137825761335584 275651522671168 551303045342336