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2092412424960 = 2837511135227
BaseRepresentation
bin11110011100101101011…
…111111101001100000000
321102000212211010110000000
4132130231133331030000
5233240230040044320
64241124020000000
7304112634104364
oct36345537751400
97360784113000
102092412424960
117374292a0510
12299634830000
13122410102830
14733b7d232a4
1539666036c90
hex1e72d7fd300

2092412424960 has 1152 divisors, whose sum is σ = 8832646609920. Its totient is φ = 468142571520.

The previous prime is 2092412424953. The next prime is 2092412424983. The reversal of 2092412424960 is 694242142902.

It is a happy number.

2092412424960 is a `hidden beast` number, since 20 + 92 + 4 + 12 + 42 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×20924124249602 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 400305867 + ... + 400311093.

It is an arithmetic number, because the mean of its divisors is an integer number (7667227960).

Almost surely, 22092412424960 is an apocalyptic number.

2092412424960 is a gapful number since it is divisible by the number (20) 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 2092412424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416323304960).

2092412424960 is an abundant number, since it is smaller than the sum of its proper divisors (6740234184960).

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

2092412424960 is an equidigital number, since it uses as much as digits as its factorization.

2092412424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2092412424960 in words is "two trillion, ninety-two billion, four hundred twelve million, four hundred twenty-four thousand, nine hundred sixty".