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41361652736316 = 22331123250397379
BaseRepresentation
bin10010110011110010000101…
…00111100110000100111100
312102110010122200202222022000
421121321002213212010330
520410132131100030231
6223545140404022300
711466165212245143
oct1131710247460474
9172403580688260
1041361652736316
11121a7418745600
1247801b9991990
131a1050565a863
14a2dcb3c1875a
154bada150e6e6
hex259e429e613c

41361652736316 has 144 divisors (see below), whose sum is σ = 117873519724800. Its totient is φ = 12533319833760.

The previous prime is 41361652736309. The next prime is 41361652736317. The reversal of 41361652736316 is 61363725616314.

41361652736316 is a `hidden beast` number, since 4 + 1 + 3 + 616 + 5 + 2 + 7 + 3 + 6 + 3 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41361652736317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424700515 + ... + 424797893.

It is an arithmetic number, because the mean of its divisors is an integer number (818566109200).

Almost surely, 241361652736316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41361652736316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58936759862400).

41361652736316 is an abundant number, since it is smaller than the sum of its proper divisors (76511866988484).

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

41361652736316 is a wasteful number, since it uses less digits than its factorization.

41361652736316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129917 (or 129898 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 41361652736316 in words is "forty-one trillion, three hundred sixty-one billion, six hundred fifty-two million, seven hundred thirty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 13068 32503 65006 97379 97509 130012 194758 195018 292137 292527 357533 389516 390036 584274 585054 715066 876411 877581 1071169 1072599 1168548 1170108 1430132 1752822 1755162 2142338 2145198 2629233 3213507 3217797 3505644 3510324 3932863 4284676 4290396 5258466 6427014 6435594 7865726 9640521 9653391 10516932 11782859 11798589 12854028 12871188 15731452 19281042 19306782 23565718 23597178 28921563 35348577 35395767 38562084 38613564 47131436 47194356 57843126 70697154 70791534 106045731 106187301 115686252 141394308 141583068 212091462 212374602 318137193 424182924 424749204 636274386 1272548772 3165109637 6330219274 9495328911 12660438548 18990657822 28485986733 34816206007 37981315644 56971973466 69632412014 85457960199 104448618021 113943946932 139264824028 170915920398 208897236042 313345854063 341831840796 382978266077 417794472084 626691708126 765956532154 940037562189 1148934798231 1253383416252 1531913064308 1880075124378 2297869596462 3446804394693 3760150248756 4595739192924 6893608789386 10340413184079 13787217578772 20680826368158 41361652736316