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41490669267456 = 293173311947977
BaseRepresentation
bin10010110111100010011001…
…00110100110101000000000
312102220110200002010211021020
421123301030212212220000
520414240342313024311
6224124314512025440
711511413314542303
oct1133611446465000
9172813602124236
1041490669267456
1112247104161a52
1247a1205232280
131a1c726862746
14a3623283ab3a
154be402d59c06
hex25bc4c9a6a00

41490669267456 has 160 divisors (see below), whose sum is σ = 117041693852160. Its totient is φ = 13016016224256.

The previous prime is 41490669267433. The next prime is 41490669267461. The reversal of 41490669267456 is 65476296609414.

It is a super-2 number, since 2×414906692674562 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864779340 + ... + 864827316.

It is an arithmetic number, because the mean of its divisors is an integer number (731510586576).

Almost surely, 241490669267456 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 41490669267456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58520846926080).

41490669267456 is an abundant number, since it is smaller than the sum of its proper divisors (75551024584704).

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

41490669267456 is a wasteful number, since it uses less digits than its factorization.

41490669267456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81134 (or 81118 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 69.

The spelling of 41490669267456 in words is "forty-one trillion, four hundred ninety billion, six hundred sixty-nine million, two hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4352 6528 8704 13056 26112 33119 47977 66238 95954 99357 132476 143931 191908 198714 264952 287862 383816 397428 529904 563023 575724 767632 794856 815609 1059808 1126046 1151448 1535264 1589712 1631218 1689069 2119616 2252092 2302896 2446827 3070528 3179424 3262436 3378138 4239232 4504184 4605792 4893654 6141056 6358848 6524872 6756276 8478464 9008368 9211584 9787308 12282112 12717696 13049744 13512552 16956928 18016736 18423168 19574616 24564224 25435392 26099488 27025104 36033472 36846336 39149232 50870784 52198976 54050208 72066944 73692672 78298464 104397952 108100416 144133888 156596928 208795904 216200832 288267776 313193856 417591808 432401664 626387712 864803328 1252775424 1588950263 3177900526 4766850789 6355801052 9533701578 12711602104 19067403156 25423204208 27012154471 38134806312 50846408416 54024308942 76269612624 81036463413 101692816832 108048617884 152539225248 162072926826 203385633664 216097235768 305078450496 324145853652 406771267328 432194471536 610156900992 648291707304 813542534656 864388943072 1220313801984 1296583414608 1728777886144 2440627603968 2593166829216 3457555772288 5186333658432 6915111544576 10372667316864 13830223089152 20745334633728 41490669267456