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11986746256 = 2410122712
BaseRepresentation
bin10110010100111011…
…10011101110010000
31010221101011210122001
423022131303232100
5144022101340011
65301233323344
7603020443042
oct131235635620
933841153561
1011986746256
1150a1229971
1223a6406554
1311904a3c84
14819d6ba92
154a25037c1
hex2ca773b90

11986746256 has 45 divisors (see below), whose sum is σ = 23543416209. Its totient is φ = 5912136000.

The previous prime is 11986746251. The next prime is 11986746259. The reversal of 11986746256 is 65264768911.

The square root of 11986746256 is 109484.

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., 11516723856 + 470022400 = 107316^2 + 21680^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11986746197 and 11986746206.

It is not an unprimeable number, because it can be changed into a prime (11986746251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44231401 + ... + 44231671.

Almost surely, 211986746256 is an apocalyptic number.

11986746256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11986746256 is the 109484-th square number.

It is an amenable number.

11986746256 is a deficient number, since it is larger than the sum of its proper divisors (11556669953).

11986746256 is an frugal number, since it uses more digits than its factorization.

11986746256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 374 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The spelling of 11986746256 in words is "eleven billion, nine hundred eighty-six million, seven hundred forty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 101 202 271 404 542 808 1084 1616 2168 4336 10201 20402 27371 40804 54742 73441 81608 109484 146882 163216 218968 293764 437936 587528 1175056 2764471 5528942 7417541 11057884 14835082 22115768 29670164 44231536 59340328 118680656 749171641 1498343282 2996686564 5993373128 11986746256