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1008876490272 = 2536723171401
BaseRepresentation
bin11101010111001011011…
…10011000111000100000
310120110002100002212000000
432223211232120320200
5113012134340142042
62051245500300000
7132613620450300
oct16534556307040
93513070085000
101008876490272
11359953528472
1214363a841600
13741a1293551
1436b892ab600
151b39ab9774c
hexeae5b98e20

1008876490272 has 1008 divisors, whose sum is σ = 3635332130304. Its totient is φ = 274337280000.

The previous prime is 1008876490261. The next prime is 1008876490273. The reversal of 1008876490272 is 2720946788001.

It is a happy number.

1008876490272 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 87 + 6 + 490 + 2 + 72 = 666.

1008876490272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1008876490273) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2515901272 + ... + 2515901672.

It is an arithmetic number, because the mean of its divisors is an integer number (3606480288).

Almost surely, 21008876490272 is an apocalyptic number.

1008876490272 is a gapful number since it is divisible by the number (12) 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 1008876490272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817666065152).

1008876490272 is an abundant number, since it is smaller than the sum of its proper divisors (2626455640032).

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

1008876490272 is an equidigital number, since it uses as much as digits as its factorization.

1008876490272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1008876490272 in words is "one trillion, eight billion, eight hundred seventy-six million, four hundred ninety thousand, two hundred seventy-two".