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41192469714496 = 26103277892
BaseRepresentation
bin10010101110110110111101…
…00001100101011001000000
312101211221222001001222112211
421113123132201211121000
520344344134221330441
6223335320452431504
711451025541265442
oct1127333641453100
9171757861058484
1041192469714496
11121416a02a5211
124753462918594
1319ca582a4c519
14a25a2488a492
154b679d791a81
hex2576de865640

41192469714496 has 63 divisors (see below), whose sum is σ = 82553215607361. Its totient is φ = 20393652812544.

The previous prime is 41192469714377. The next prime is 41192469714503. The reversal of 41192469714496 is 69441796429114.

The square root of 41192469714496 is 6418136.

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., 24353593324096 + 16838876390400 = 4934936^2 + 4103520^2 .

It is a super-2 number, since 2×411924697144962 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5288540170 + ... + 5288547958.

Almost surely, 241192469714496 is an apocalyptic number.

41192469714496 is the 6418136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41192469714496

41192469714496 is an abundant number, since it is smaller than the sum of its proper divisors (41360745892865).

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

41192469714496 is an frugal number, since it uses more digits than its factorization.

41192469714496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15796 (or 7894 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 67.

The spelling of 41192469714496 in words is "forty-one trillion, one hundred ninety-two billion, four hundred sixty-nine million, seven hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 1648 3296 6592 7789 10609 15578 21218 31156 42436 62312 84872 124624 169744 249248 339488 498496 678976 802267 1604534 3209068 6418136 12836272 25672544 51345088 60668521 82633501 121337042 165267002 242674084 330534004 485348168 661068008 970696336 1322136016 1941392672 2644272032 3882785344 5288544064 6248857663 12497715326 24995430652 49990861304 99981722608 199963445216 399926890432 643632339289 1287264678578 2574529357156 5149058714312 10298117428624 20596234857248 41192469714496