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1099145376 = 2536753127
BaseRepresentation
bin100000110000011…
…1010000010100000
32211121020101000000
41001200322002200
54222340123001
6301022300000
736144403320
oct10140720240
92747211000
101099145376
1151449120a
12268127600
131469419a4
14a5d99280
1566767a86
hex4183a0a0

1099145376 has 336 divisors, whose sum is σ = 3807627264. Its totient is φ = 305690112.

The previous prime is 1099145371. The next prime is 1099145417. The reversal of 1099145376 is 6735419901.

1099145376 is a `hidden beast` number, since 10 + 99 + 14 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1099145371) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8654625 + ... + 8654751.

It is an arithmetic number, because the mean of its divisors is an integer number (11332224).

Almost surely, 21099145376 is an apocalyptic number.

1099145376 is a gapful number since it is divisible by the number (16) 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 1099145376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903813632).

1099145376 is an abundant number, since it is smaller than the sum of its proper divisors (2708481888).

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

1099145376 is an equidigital number, since it uses as much as digits as its factorization.

1099145376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1099145376 is about 33153.3614585309. The cubic root of 1099145376 is about 1032.0127094162.

The spelling of 1099145376 in words is "one billion, ninety-nine million, one hundred forty-five thousand, three hundred seventy-six".