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41720356304 = 24112979107967
BaseRepresentation
bin100110110110101110…
…100001110111010000
310222200120012200200122
4212312232201313100
51140420402400204
631055512005412
73004604114564
oct466656416720
9128616180618
1041720356304
111676a065210
128104090868
133c1b608483
14203ac716a4
151142a5c0be
hex9b6ba1dd0

41720356304 has 160 divisors (see below), whose sum is σ = 93336883200. Its totient is φ = 17890629120.

The previous prime is 41720356253. The next prime is 41720356373. The reversal of 41720356304 is 40365302714.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 43143629 + ... + 43144595.

It is an arithmetic number, because the mean of its divisors is an integer number (583355520).

Almost surely, 241720356304 is an apocalyptic number.

41720356304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41720356304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46668441600).

41720356304 is an abundant number, since it is smaller than the sum of its proper divisors (51616526896).

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

41720356304 is a wasteful number, since it uses less digits than its factorization.

41720356304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 41720356304 in words is "forty-one billion, seven hundred twenty million, three hundred fifty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 79 88 107 116 158 176 214 232 316 319 428 464 632 638 856 869 967 1177 1264 1276 1712 1738 1934 2291 2354 2552 3103 3476 3868 4582 4708 5104 6206 6952 7736 8453 9164 9416 10637 12412 13904 15472 16906 18328 18832 21274 24824 25201 28043 33812 34133 36656 42548 49648 50402 56086 67624 68266 76393 85096 92983 100804 103469 112172 135248 136532 152786 170192 185966 201608 206938 224344 245137 273064 305572 308473 371932 403216 413876 448688 490274 546128 611144 616946 743864 827752 840323 980548 1138159 1222288 1233892 1487728 1655504 1680646 1961096 2215397 2276318 2467784 2696507 3000601 3361292 3922192 4430794 4552636 4935568 5393014 6001202 6722584 8174051 8861588 9105272 10786028 12002404 13445168 16348102 17723176 18210544 21572056 24004808 24369367 32696204 33006611 35446352 43144112 48009616 48738734 65392408 66013222 89914561 97477468 130784816 132026444 179829122 194954936 237047479 264052888 359658244 389909872 474094958 528105776 719316488 948189916 1438632976 1896379832 2607522269 3792759664 5215044538 10430089076 20860178152 41720356304