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1009999089792 = 273371123473511
BaseRepresentation
bin11101011001010001010…
…00110001000010000000
310120112222120110211001000
432230220220301002000
5113021434231333132
62051553121412000
7132653501420220
oct16545050610200
93515876424030
101009999089792
1135a37a179070
121438b279a000
137431ca27914
1436c54410080
151b4144e487c
hexeb28a31080

1009999089792 has 1024 divisors, whose sum is σ = 3961670860800. Its totient is φ = 245522534400.

The previous prime is 1009999089787. The next prime is 1009999089797. The reversal of 1009999089792 is 2979809999001.

It is an interprime number because it is at equal distance from previous prime (1009999089787) and next prime (1009999089797).

It is a super-2 number, since 2×10099990897922 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1009999089792.

It is not an unprimeable number, because it can be changed into a prime (1009999089797) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287665317 + ... + 287668827.

It is an arithmetic number, because the mean of its divisors is an integer number (3868819200).

Almost surely, 21009999089792 is an apocalyptic number.

1009999089792 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 1009999089792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980835430400).

1009999089792 is an abundant number, since it is smaller than the sum of its proper divisors (2951671771008).

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

1009999089792 is a wasteful number, since it uses less digits than its factorization.

1009999089792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 59521392, while the sum is 72.

The spelling of 1009999089792 in words is "one trillion, nine billion, nine hundred ninety-nine million, eighty-nine thousand, seven hundred ninety-two".