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2068229401956 = 22322396892
BaseRepresentation
bin11110000110001100000…
…101000010110101100100
321022201110110111120221100
4132012030011002311210
5232341213211330311
64222044221520100
7302265436565214
oct36061405026544
97281413446840
102068229401956
11728149640393
12294a05a13030
13120057c14673
1472162284244
1538bece41a56
hex1e18c142d64

2068229401956 has 27 divisors (see below), whose sum is σ = 5228046133401. Its totient is φ = 689406924384.

The previous prime is 2068229401883. The next prime is 2068229401963. The reversal of 2068229401956 is 6591049228602.

The square root of 2068229401956 is 1438134.

It is a perfect power (a square), and thus also a powerful number.

2068229401956 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 229 + 401 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1853230259556 + 214999142400 = 1361334^2 + 463680^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 8508960 + ... + 8748648.

Almost surely, 22068229401956 is an apocalyptic number.

2068229401956 is the 1438134-th square number.

It is an amenable number.

2068229401956 is an abundant number, since it is smaller than the sum of its proper divisors (3159816731445).

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

2068229401956 is an frugal number, since it uses more digits than its factorization.

2068229401956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479388 (or 239694 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2068229401956 in words is "two trillion, sixty-eight billion, two hundred twenty-nine million, four hundred one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 239689 479378 719067 958756 1438134 2157201 2876268 4314402 8628804 57450816721 114901633442 172352450163 229803266884 344704900326 517057350489 689409800652 1034114700978 2068229401956