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8105841749776 = 24372192372
BaseRepresentation
bin111010111110100100111…
…0100010110111100010000
31001200220121001022101021211
41311331021310112330100
52030301230441443101
625123434452025504
71464425213022211
oct165751164267420
931626531271254
108105841749776
112645739392411
12aaab72002294
1346a4ba772474
142004794b7408
15e0cb8e78c51
hex75f49d16f10

8105841749776 has 45 divisors (see below), whose sum is σ = 16141840729119. Its totient is φ = 3943177483392.

The previous prime is 8105841749743. The next prime is 8105841749779. The reversal of 8105841749776 is 6779471485018.

The square root of 8105841749776 is 2847076.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6581103376 + 8099260646400 = 81124^2 + 2845920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8105841749779) 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 8 ways as a sum of consecutive naturals, for example, 421357630 + ... + 421376866.

Almost surely, 28105841749776 is an apocalyptic number.

8105841749776 is the 2847076-th square number.

It is an amenable number.

8105841749776 is a deficient number, since it is larger than the sum of its proper divisors (8035998979343).

8105841749776 is an frugal number, since it uses more digits than its factorization.

8105841749776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38556 (or 19276 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 67.

The spelling of 8105841749776 in words is "eight trillion, one hundred five billion, eight hundred forty-one million, seven hundred forty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 37 74 148 296 592 1369 2738 5476 10952 19237 21904 38474 76948 153896 307792 711769 1423538 2847076 5694152 11388304 26335453 52670906 105341812 210683624 370062169 421367248 740124338 1480248676 2960497352 5920994704 13692300253 27384600506 54769201012 109538402024 219076804048 506615109361 1013230218722 2026460437444 4052920874888 8105841749776