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2079813928336 = 2489240512
BaseRepresentation
bin11110010000111110100…
…100100000010110010000
321100211100210211111121221
4132100332210200112100
5233033424331201321
64231241530254424
7303155504462464
oct36207644402620
97324323744557
102079813928336
11732053818531
122970b9587414
13121182c7a7c1
1472940a304a4
1539179e93e41
hex1e43e920590

2079813928336 has 45 divisors (see below), whose sum is σ = 4076431340673. Its totient is φ = 1027968796800.

The previous prime is 2079813928273. The next prime is 2079813928337. The reversal of 2079813928336 is 6338293189702.

The square root of 2079813928336 is 1442156.

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

It can be written as a sum of positive squares in only one way, i.e., 399368385936 + 1680445542400 = 631956^2 + 1296320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2079813928337) 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 8 ways as a sum of consecutive naturals, for example, 513405511 + ... + 513409561.

Almost surely, 22079813928336 is an apocalyptic number.

2079813928336 is the 1442156-th square number.

It is an amenable number.

2079813928336 is a deficient number, since it is larger than the sum of its proper divisors (1996617412337).

2079813928336 is an frugal number, since it uses more digits than its factorization.

2079813928336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 2079813928336 in words is "two trillion, seventy-nine billion, eight hundred thirteen million, nine hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 89 178 356 712 1424 4051 7921 8102 15842 16204 31684 32408 63368 64816 126736 360539 721078 1442156 2884312 5768624 16410601 32087971 32821202 64175942 65642404 128351884 131284808 256703768 262569616 513407536 1460543489 2921086978 5842173956 11684347912 23368695824 129988370521 259976741042 519953482084 1039906964168 2079813928336