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11682944080 = 245449325249
BaseRepresentation
bin10101110000101101…
…11001010001010000
31010011012112001101121
422320112321101100
5142411313202310
65211142012024
7562341246313
oct127026712120
933135461347
1011682944080
114a55798895
122320717014
131142574682
147cb88897a
154859e30da
hex2b85b9450

11682944080 has 40 divisors (see below), whose sum is σ = 27223425000. Its totient is φ = 4662755328.

The previous prime is 11682944069. The next prime is 11682944123. The reversal of 11682944080 is 8044928611.

It can be written as a sum of positive squares in 4 ways, for example, as 2410024464 + 9272919616 = 49092^2 + 96296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126705 + ... + 198544.

It is an arithmetic number, because the mean of its divisors is an integer number (680585625).

Almost surely, 211682944080 is an apocalyptic number.

11682944080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11682944080 is an abundant number, since it is smaller than the sum of its proper divisors (15540480920).

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

11682944080 is a wasteful number, since it uses less digits than its factorization.

11682944080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325711 (or 325705 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 11682944080 in words is "eleven billion, six hundred eighty-two million, nine hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 449 898 1796 2245 3592 4490 7184 8980 17960 35920 325249 650498 1300996 1626245 2601992 3252490 5203984 6504980 13009960 26019920 146036801 292073602 584147204 730184005 1168294408 1460368010 2336588816 2920736020 5841472040 11682944080