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2006880222735 = 325613231131481
BaseRepresentation
bin11101001101000011011…
…000011111111000001111
321002212002221012101020100
4131031003120133320033
5230340042314111420
64133540440022143
7264664235301333
oct35150330377017
97085087171210
102006880222735
11704127625a83
12284b44161953
1311732bac089b
146d1c254b7c3
153730c037190
hex1d34361fe0f

2006880222735 has 48 divisors (see below), whose sum is σ = 3485885502528. Its totient is φ = 1068093734400.

The previous prime is 2006880222733. The next prime is 2006880222749. The reversal of 2006880222735 is 5372220886002.

It is a happy number.

It is a Cunningham number, because it is equal to 14166442-1.

It is not a de Polignac number, because 2006880222735 - 21 = 2006880222733 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006880222733) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 63733195 + ... + 63764675.

It is an arithmetic number, because the mean of its divisors is an integer number (72622614636).

Almost surely, 22006880222735 is an apocalyptic number.

2006880222735 is a deficient number, since it is larger than the sum of its proper divisors (1479005279793).

2006880222735 is a wasteful number, since it uses less digits than its factorization.

2006880222735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34416 (or 34413 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2006880222735 in words is "two trillion, six billion, eight hundred eighty million, two hundred twenty-two thousand, seven hundred thirty-five".

Divisors: 1 3 5 9 15 45 613 1839 2311 3065 5517 6933 9195 11555 20799 27585 31481 34665 94443 103995 157405 283329 472215 1416643 1416645 4249929 7083215 12749787 19297853 21249645 57893559 63748935 72752591 96489265 173680677 218257773 289467795 363762955 654773319 868403385 1091288865 3273866595 44597338283 133792014849 222986691415 401376044547 668960074245 2006880222735