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10990287360 = 2937513151
BaseRepresentation
bin10100011110001001…
…00111101000000000
31001100221011110000000
422033010213220000
5140002003143420
65014320000000
7536230621053
oct121704475000
931327143000
1010990287360
11472a804618
122168760000
131061c06820
147638a2a9a
15444cc1690
hex28f127a00

10990287360 has 640 divisors, whose sum is σ = 42842257920. Its totient is φ = 2687385600.

The previous prime is 10990287359. The next prime is 10990287361. The reversal of 10990287360 is 6378209901.

10990287360 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 0 + 287 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (10990287359) and next prime (10990287361).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10990287361) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 72783285 + ... + 72783435.

It is an arithmetic number, because the mean of its divisors is an integer number (66941028).

Almost surely, 210990287360 is an apocalyptic number.

10990287360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10990287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21421128960).

10990287360 is an abundant number, since it is smaller than the sum of its proper divisors (31851970560).

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

10990287360 is an frugal number, since it uses more digits than its factorization.

10990287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10990287360 in words is "ten billion, nine hundred ninety million, two hundred eighty-seven thousand, three hundred sixty".