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820323343323028 = 2210112893700342571
BaseRepresentation
bin1011101010000101000110100…
…1011110101100111110010100
310222120112010221020111102221001
42322201101221132230332110
51330010134201342314103
612024403201425433044
7334534256112536506
oct27241215136547624
93876463836442831
10820323343323028
112184201a357a726
12780081aba9b784
132929620c1262bc
141067dc0c58dd76
1564c875cccc01d
hex2ea14697acf94

820323343323028 has 48 divisors (see below), whose sum is σ = 1450977399305280. Its totient is φ = 405765116064000.

The previous prime is 820323343322999. The next prime is 820323343323047.

820323343323028 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19269512983 + ... + 19269555553.

It is an arithmetic number, because the mean of its divisors is an integer number (30228695818860).

Almost surely, 2820323343323028 is an apocalyptic number.

It is an amenable number.

820323343323028 is a deficient number, since it is larger than the sum of its proper divisors (630654055982252).

820323343323028 is a wasteful number, since it uses less digits than its factorization.

820323343323028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80968 (or 80966 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 46.

The spelling of 820323343323028 in words is "eight hundred twenty trillion, three hundred twenty-three billion, three hundred forty-three million, three hundred twenty-three thousand, twenty-eight".

Divisors: 1 2 4 101 202 404 1289 2578 5156 37003 42571 74006 85142 130189 148012 170284 260378 520756 3737303 4299671 7474606 8599342 14949212 17198684 47696867 54874019 95393734 109748038 190787468 219496076 1575254713 3150509426 4817383567 5542275919 6301018852 9634767134 11084551838 19269534268 22169103676 159100726013 318201452026 636402904052 2030503325057 4061006650114 8122013300228 205080835830757 410161671661514 820323343323028