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9424261450816 = 26137228012
BaseRepresentation
bin1000100100100100000111…
…0000011000110001000000
31020100221122222120121010121
42021021001300120301000
52213401341412411231
632013240153510024
71661610661413112
oct211110160306100
936327588517117
109424261450816
113003896998623
12108259a112314
1353491ca18a94
142481cb1013b2
1511523000d311
hex89241c18c40

9424261450816 has 63 divisors (see below), whose sum is σ = 18845498951167. Its totient is φ = 4676065587200.

The previous prime is 9424261450781. The next prime is 9424261450853. The reversal of 9424261450816 is 6180541624249.

The square root of 9424261450816 is 3069896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 90601000000 + 9333660450816 = 301000^2 + 3055104^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 3364604616 + ... + 3364607416.

Almost surely, 29424261450816 is an apocalyptic number.

9424261450816 is the 3069896-th square number.

It is an amenable number.

9424261450816 is a deficient number, since it is larger than the sum of its proper divisors (9421237500351).

9424261450816 is an frugal number, since it uses more digits than its factorization.

9424261450816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 9424261450816 in words is "nine trillion, four hundred twenty-four billion, two hundred sixty-one million, four hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 137 274 548 1096 2192 2801 4384 5602 8768 11204 18769 22408 37538 44816 75076 89632 150152 179264 300304 383737 600608 767474 1201216 1534948 3069896 6139792 7845601 12279584 15691202 24559168 31382404 52571969 62764808 105143938 125529616 210287876 251059232 420575752 502118464 841151504 1074847337 1682303008 2149694674 3364606016 4299389348 8598778696 17197557392 34395114784 68790229568 147254085169 294508170338 589016340676 1178032681352 2356065362704 4712130725408 9424261450816