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41365149168 = 24371672632803
BaseRepresentation
bin100110100001100011…
…100001010111110000
310221202210211022002210
4212201203201113300
51134203434233133
631000342412120
72663031652350
oct464143412760
9127683738083
1041365149168
11165a76038a2
128025131040
133b92b4b135
142005a0ab60
151121795763
hex9a18e15f0

41365149168 has 160 divisors (see below), whose sum is σ = 123368103936. Its totient is φ = 11699000064.

The previous prime is 41365149151. The next prime is 41365149191. The reversal of 41365149168 is 86194156314.

It is a super-2 number, since 2×413651491682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14756055 + ... + 14758857.

Almost surely, 241365149168 is an apocalyptic number.

41365149168 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 41365149168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61684051968).

41365149168 is an abundant number, since it is smaller than the sum of its proper divisors (82002954768).

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

41365149168 is a wasteful number, since it uses less digits than its factorization.

41365149168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3245 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 41365149168 in words is "forty-one billion, three hundred sixty-five million, one hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 167 168 263 334 336 501 526 668 789 1002 1052 1169 1336 1578 1841 2004 2104 2338 2672 2803 3156 3507 3682 4008 4208 4676 5523 5606 6312 7014 7364 8016 8409 9352 11046 11212 12624 14028 14728 16818 18704 19621 22092 22424 28056 29456 33636 39242 43921 44184 44848 56112 58863 67272 78484 87842 88368 117726 131763 134544 156968 175684 235452 263526 307447 313936 351368 468101 470904 527052 614894 702736 737189 922341 936202 941808 1054104 1229788 1404303 1474378 1844682 1872404 2108208 2211567 2459576 2808606 2948756 3276707 3689364 3744808 4423134 4919152 5160323 5617212 5897512 6553414 7378728 7489616 8846268 9830121 10320646 11234424 11795024 13106828 14757456 15480969 17692536 19660242 20641292 22468848 26213656 30961938 35385072 39320484 41282584 52427312 61923876 78640968 82565168 123110563 123847752 157281936 246221126 247695504 369331689 492442252 738663378 861773941 984884504 1477326756 1723547882 1969769008 2585321823 2954653512 3447095764 5170643646 5909307024 6894191528 10341287292 13788383056 20682574584 41365149168