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41163065360 = 2453750327647
BaseRepresentation
bin100110010101100000…
…101000100000010000
310221020201120101020022
4212111200220200100
51133300221042420
630524323203012
72655026165624
oct462540504020
9127221511208
1041163065360
111650352828a
127b89516468
133b60014511
141dc6c45184
15110db78c25
hex995828810

41163065360 has 80 divisors (see below), whose sum is σ = 98489696256. Its totient is φ = 15987792384.

The previous prime is 41163065357. The next prime is 41163065369. The reversal of 41163065360 is 6356036114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 41163065360.

It is not an unprimeable number, because it can be changed into a prime (41163065369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1475057 + ... + 1502703.

Almost surely, 241163065360 is an apocalyptic number.

41163065360 is a gapful number since it is divisible by the number (40) 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 41163065360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49244848128).

41163065360 is an abundant number, since it is smaller than the sum of its proper divisors (57326630896).

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

41163065360 is a wasteful number, since it uses less digits than its factorization.

41163065360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28200 (or 28194 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 41163065360 in words is "forty-one billion, one hundred sixty-three million, sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 503 592 740 1006 1480 2012 2515 2960 4024 5030 8048 10060 18611 20120 27647 37222 40240 55294 74444 93055 110588 138235 148888 186110 221176 276470 297776 372220 442352 552940 744440 1022939 1105880 1488880 2045878 2211760 4091756 5114695 8183512 10229390 13906441 16367024 20458780 27812882 40917560 55625764 69532205 81835120 111251528 139064410 222503056 278128820 514538317 556257640 1029076634 1112515280 2058153268 2572691585 4116306536 5145383170 8232613072 10290766340 20581532680 41163065360