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41613533808 = 2437311229777
BaseRepresentation
bin100110110000010111…
…000010001001110000
310222102010012112202220
4212300113002021300
51140211031040213
631041134241040
73002136126000
oct466027021160
9128363175686
1041613533808
1116714833960
128094356180
133c024464b2
14202a9c6000
1511384aae23
hex9b05c2270

41613533808 has 160 divisors (see below), whose sum is σ = 136763865600. Its totient is φ = 10808663040.

The previous prime is 41613533777. The next prime is 41613533809. The reversal of 41613533808 is 80833531614.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 41613533808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41613533809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66216 + ... + 295992.

It is an arithmetic number, because the mean of its divisors is an integer number (854774160).

Almost surely, 241613533808 is an apocalyptic number.

41613533808 is a gapful number since it is divisible by the number (48) 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 41613533808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68381932800).

41613533808 is an abundant number, since it is smaller than the sum of its proper divisors (95150331792).

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

41613533808 is a wasteful number, since it uses less digits than its factorization.

41613533808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229820 (or 229800 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 41613533808 in words is "forty-one billion, six hundred thirteen million, five hundred thirty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 343 392 462 528 539 588 616 686 784 924 1029 1078 1176 1232 1372 1617 1848 2058 2156 2352 2744 3234 3696 3773 4116 4312 5488 6468 7546 8232 8624 11319 12936 15092 16464 22638 25872 30184 45276 60368 90552 181104 229777 459554 689331 919108 1378662 1608439 1838216 2527547 2757324 3216878 3676432 4825317 5055094 5514648 6433756 7582641 9650634 10110188 11029296 11259073 12867512 15165282 17692829 19301268 20220376 22518146 25735024 30330564 33777219 35385658 38602536 40440752 45036292 53078487 60661128 67554438 70771316 77205072 78813511 90072584 106156974 121322256 123849803 135108876 141542632 157627022 180145168 212313948 236440533 247699606 270217752 283085264 315254044 371549409 424627896 472881066 495399212 540435504 630508088 743098818 849255792 866948621 945762132 990798424 1261016176 1486197636 1733897242 1891524264 1981596848 2600845863 2972395272 3467794484 3783048528 5201691726 5944790544 6935588968 10403383452 13871177936 20806766904 41613533808