Search a number
-
+
9243668736 = 283220032
BaseRepresentation
bin10001001101111011…
…10011000100000000
3212212012121000200100
420212331303010000
5122412334344421
64125123522400
7445031613351
oct104675630400
925765530610
109243668736
113a138a0155
12195b829400
13b440b6c93
14639923d28
153917aec26
hex226f73100

9243668736 has 81 divisors (see below), whose sum is σ = 26665088359. Its totient is φ = 3079684608.

The previous prime is 9243668719. The next prime is 9243668807. The reversal of 9243668736 is 6378663429.

The square root of 9243668736 is 96144.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4613911 + ... + 4615913.

Almost surely, 29243668736 is an apocalyptic number.

9243668736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9243668736 is the 96144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9243668736

9243668736 is an abundant number, since it is smaller than the sum of its proper divisors (17421419623).

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

9243668736 is an frugal number, since it uses more digits than its factorization.

9243668736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 2008 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The cubic root of 9243668736 is about 2098.6891846833.

The spelling of 9243668736 in words is "nine billion, two hundred forty-three million, six hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2003 2304 4006 6009 8012 12018 16024 18027 24036 32048 36054 48072 64096 72108 96144 128192 144216 192288 256384 288432 384576 512768 576864 769152 1153728 1538304 2307456 4012009 4614912 8024018 12036027 16048036 24072054 32096072 36108081 48144108 64192144 72216162 96288216 128384288 144432324 192576432 256768576 288864648 385152864 513537152 577729296 770305728 1027074304 1155458592 1540611456 2310917184 3081222912 4621834368 9243668736