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41313525552 = 24331343171079
BaseRepresentation
bin100110011110011110…
…100101111100110000
310221122012200112211000
4212132132211330300
51134102230304202
630551300122000
72661534113235
oct463636457460
9127565615730
1041313525552
1116580454252
12800b996300
133b85244a10
141ddcc0d78c
15111be9991c
hex99e7a5f30

41313525552 has 160 divisors (see below), whose sum is σ = 130677747200. Its totient is φ = 12416156928.

The previous prime is 41313525529. The next prime is 41313525559. The reversal of 41313525552 is 25552531314.

41313525552 is a `hidden beast` number, since 41 + 3 + 13 + 52 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41313525559) 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, 155949 + ... + 327027.

It is an arithmetic number, because the mean of its divisors is an integer number (816735920).

Almost surely, 241313525552 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 41313525552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65338873600).

41313525552 is an abundant number, since it is smaller than the sum of its proper divisors (89364221648).

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

41313525552 is a wasteful number, since it uses less digits than its factorization.

41313525552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171152 (or 171140 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The spelling of 41313525552 in words is "forty-one billion, three hundred thirteen million, five hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 43 48 52 54 72 78 86 104 108 117 129 144 156 172 208 216 234 258 312 344 351 387 432 468 516 559 624 688 702 774 936 1032 1118 1161 1404 1548 1677 1872 2064 2236 2322 2808 3096 3354 4472 4644 5031 5616 6192 6708 8944 9288 10062 13416 15093 18576 20124 26832 30186 40248 60372 80496 120744 171079 241488 342158 513237 684316 1026474 1368632 1539711 2052948 2224027 2737264 3079422 4105896 4448054 4619133 6158844 6672081 7356397 8211792 8896108 9238266 12317688 13344162 14712794 17792216 18476532 20016243 22069191 24635376 26688324 29425588 35584432 36953064 40032486 44138382 53376648 58851176 60048729 66207573 73906128 80064972 88276764 95633161 106753296 117702352 120097458 132415146 160129944 176553528 191266322 198622719 240194916 264830292 286899483 320259888 353107056 382532644 397245438 480389832 529660584 573798966 765065288 794490876 860698449 960779664 1059321168 1147597932 1530130576 1588981752 1721396898 2295195864 2582095347 3177963504 3442793796 4590391728 5164190694 6885587592 10328381388 13771175184 20656762776 41313525552