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9465109056 = 2632131264037
BaseRepresentation
bin10001101000010101…
…00001101001000000
3220102122021100200200
420310022201221000
5123341031442211
64203114045200
7453361046064
oct106412415100
926378240620
109465109056
114017897587
121a01a19800
13b7ac3a160
1465b0c7aa4
153a5e51b56
hex2342a1a40

9465109056 has 84 divisors (see below), whose sum is σ = 29216974332. Its totient is φ = 2912338944.

The previous prime is 9465109033. The next prime is 9465109061. The reversal of 9465109056 is 6509015649.

It is a happy number.

9465109056 is a `hidden beast` number, since 9 + 46 + 510 + 90 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5865109056 + 3600000000 = 76584^2 + 60000^2 .

It is a super-2 number, since 2×94651090562 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624531 + ... + 639506.

It is an arithmetic number, because the mean of its divisors is an integer number (347821123).

Almost surely, 29465109056 is an apocalyptic number.

9465109056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9465109056 is an abundant number, since it is smaller than the sum of its proper divisors (19751865276).

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

9465109056 is a wasteful number, since it uses less digits than its factorization.

9465109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264068 (or 1264055 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9465109056 is about 97288.7920369042. The cubic root of 9465109056 is about 2115.3157713059.

The spelling of 9465109056 in words is "nine billion, four hundred sixty-five million, one hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 1264037 2528074 3792111 5056148 7584222 10112296 11376333 15168444 16432481 20224592 22752666 30336888 32864962 40449184 45505332 49297443 60673776 65729924 80898368 91010664 98594886 121347552 131459848 147892329 182021328 197189772 242695104 262919696 295784658 364042656 394379544 525839392 591569316 728085312 788759088 1051678784 1183138632 1577518176 2366277264 3155036352 4732554528 9465109056