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1982790436032 = 2635718213463
BaseRepresentation
bin11100110110100111100…
…001010000010011000000
321000112221002000102100000
4130312213201100103000
5224441223322423112
64114514212200000
7263152252424130
oct34664741202300
97015832012300
101982790436032
116a499556774a
12280340609000
13114c90018723
146bd7901cac0
153689c20c7dc
hex1cda78504c0

1982790436032 has 168 divisors, whose sum is σ = 6735776110336. Its totient is φ = 566511522048.

The previous prime is 1982790436031. The next prime is 1982790436037. The reversal of 1982790436032 is 2306340972891.

1982790436032 is a `hidden beast` number, since 1 + 9 + 8 + 27 + 9 + 0 + 4 + 3 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1982790436032.

It is not an unprimeable number, because it can be changed into a prime (1982790436031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8997868 + ... + 9215595.

Almost surely, 21982790436032 is an apocalyptic number.

1982790436032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1982790436032 is an abundant number, since it is smaller than the sum of its proper divisors (4752985674304).

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

1982790436032 is an equidigital number, since it uses as much as digits as its factorization.

1982790436032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18213497 (or 18213475 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1982790436032 in words is "one trillion, nine hundred eighty-two billion, seven hundred ninety million, four hundred thirty-six thousand, thirty-two".