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2082420741352 = 237536431091173
BaseRepresentation
bin11110010011011001111…
…100101101010011101000
321101002002111000022211011
4132103121330231103220
5233104244202210402
64232352331313304
7303310220150440
oct36233174552350
97332074008734
102082420741352
11733171246756
122977065ab834
131214aa067803
1472b0ad27120
153927dc6ced7
hex1e4d9f2d4e8

2082420741352 has 64 divisors (see below), whose sum is σ = 4553600042880. Its totient is φ = 874264465152.

The previous prime is 2082420741307. The next prime is 2082420741353. The reversal of 2082420741352 is 2531470242802.

It is a super-2 number, since 2×20824207413522 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2082420741353) 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 15 ways as a sum of consecutive naturals, for example, 1362838 + ... + 2454010.

It is an arithmetic number, because the mean of its divisors is an integer number (71150000670).

Almost surely, 22082420741352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082420741352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276800021440).

2082420741352 is an abundant number, since it is smaller than the sum of its proper divisors (2471179301528).

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

2082420741352 is a wasteful number, since it uses less digits than its factorization.

2082420741352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091882 (or 1091878 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 2082420741352 in words is "two trillion, eighty-two billion, four hundred twenty million, seven hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 643 742 1286 1484 2572 2968 4501 5144 9002 18004 34079 36008 68158 136316 238553 272632 477106 954212 1091173 1908424 2182346 4364692 7638211 8729384 15276422 30552844 57832169 61105688 115664338 231328676 404825183 462657352 701624239 809650366 1403248478 1619300732 2806496956 3238601464 4911369673 5612993912 9822739346 19645478692 37186084667 39290957384 74372169334 148744338668 260302592669 297488677336 520605185338 1041210370676 2082420741352