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2806482665536 = 26112190372
BaseRepresentation
bin101000110101101111011…
…001110000000001000000
3100221022000121021010021021
4220311233121300001000
5331440134030244121
65545140315235224
7406522154024434
oct50655731600100
910838017233237
102806482665536
1199224a333100
12393ab9448b14
1317485b5a27c4
1499b97b869c4
154d00a499641
hex28d6f670040

2806482665536 has 63 divisors (see below), whose sum is σ = 6121744440637. Its totient is φ = 1275606928640.

The previous prime is 2806482665521. The next prime is 2806482665587. The reversal of 2806482665536 is 6355662846082.

The square root of 2806482665536 is 1675256.

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., 14428814400 + 2792053851136 = 120120^2 + 1670944^2 .

It is a Duffinian number.

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, 147413010 + ... + 147432046.

Almost surely, 22806482665536 is an apocalyptic number.

2806482665536 is the 1675256-th square number.

It is an amenable number.

2806482665536 is an abundant number, since it is smaller than the sum of its proper divisors (3315261775101).

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

2806482665536 is an frugal number, since it uses more digits than its factorization.

2806482665536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38108 (or 19050 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 61.

The spelling of 2806482665536 in words is "two trillion, eight hundred six billion, four hundred eighty-two million, six hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 19037 38074 76148 152296 209407 304592 418814 609184 837628 1218368 1675256 2303477 3350512 4606954 6701024 9213908 13402048 18427816 36855632 73711264 147422528 362407369 724814738 1449629476 2899258952 3986481059 5798517904 7972962118 11597035808 15945924236 23194071616 31891848472 43851291649 63783696944 87702583298 127567393888 175405166596 255134787776 350810333192 701620666384 1403241332768 2806482665536