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425305615488 = 27313101843539
BaseRepresentation
bin1100011000001100011…
…00001010110010000000
31111122210021112211102220
412030012030022302000
523432011214143423
6523214355211040
742504320040435
oct6140614126200
91448707484386
10425305615488
11154409a28906
126a515ba6a80
133114c28a610
1416828d81b8c
15b0e33389e3
hex630630ac80

425305615488 has 128 divisors (see below), whose sum is σ = 1228666622400. Its totient is φ = 129567436800.

The previous prime is 425305615451. The next prime is 425305615519. The reversal of 425305615488 is 884516503524.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 425305615488.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82423 + ... + 925961.

Almost surely, 2425305615488 is an apocalyptic number.

425305615488 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 425305615488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614333311200).

425305615488 is an abundant number, since it is smaller than the sum of its proper divisors (803361006912).

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

425305615488 is a wasteful number, since it uses less digits than its factorization.

425305615488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843670 (or 843658 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 425305615488 in words is "four hundred twenty-five billion, three hundred five million, six hundred fifteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 156 192 202 208 303 312 384 404 416 606 624 808 832 1212 1248 1313 1616 1664 2424 2496 2626 3232 3939 4848 4992 5252 6464 7878 9696 10504 12928 15756 19392 21008 31512 38784 42016 63024 84032 126048 168064 252096 504192 843539 1687078 2530617 3374156 5061234 6748312 10122468 10966007 13496624 20244936 21932014 26993248 32898021 40489872 43864028 53986496 65796042 80979744 85197439 87728056 107972992 131592084 161959488 170394878 175456112 255592317 263184168 323918976 340789756 350912224 511184634 526368336 681579512 701824448 1022369268 1052736672 1107566707 1363159024 1403648896 2044738536 2105473344 2215133414 2726318048 3322700121 4089477072 4210946688 4430266828 5452636096 6645400242 8178954144 8860533656 10905272192 13290800484 16357908288 17721067312 26581600968 32715816576 35442134624 53163201936 70884269248 106326403872 141768538496 212652807744 425305615488