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9216000001 = 1313714934729
BaseRepresentation
bin10001001010101000…
…10000000000000001
3212210021112022022101
420211110100000001
5122333244000001
64122254510401
7444244464445
oct104524200001
925707468271
109216000001
1139aa21222a
121952505401
13b3b44a150
14635da0825
1538e146a01
hex225510001

9216000001 has 16 divisors (see below), whose sum is σ = 10064754000. Its totient is φ = 8388062208.

The previous prime is 9215999981. The next prime is 9216000011. The reversal of 9216000001 is 1000006129.

It is a Cunningham number, because it is equal to 960002+1.

It can be written as a sum of positive squares in 8 ways, for example, as 3802572225 + 5413427776 = 61665^2 + 73576^2 .

It is a cyclic number.

It is not a de Polignac number, because 9216000001 - 221 = 9213902849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9216000011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248005 + ... + 282733.

It is an arithmetic number, because the mean of its divisors is an integer number (629047125).

Almost surely, 29216000001 is an apocalyptic number.

It is an amenable number.

9216000001 is a deficient number, since it is larger than the sum of its proper divisors (848753999).

9216000001 is a wasteful number, since it uses less digits than its factorization.

9216000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35028.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 9216000001 is about 96000.0000052083. Note that the first 5 decimals coincide. The cubic root of 9216000001 is about 2096.5931154429.

The spelling of 9216000001 in words is "nine billion, two hundred sixteen million, one", and thus it is an aban number.

Divisors: 1 13 137 149 1781 1937 20413 34729 265369 451477 4757873 5174621 61852349 67270073 708923077 9216000001