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41601741680 = 2454714974257
BaseRepresentation
bin100110101111101010…
…000011001101110000
310222101022000110000102
4212233222003031300
51140200021213210
631040033411532
73001633653422
oct465752031560
9128338013012
1041601741680
111670910a2a4
128090409ba8
133bccb77cc5
1420291d6812
15113742bea5
hex9afa83370

41601741680 has 80 divisors (see below), whose sum is σ = 99446313600. Its totient is φ = 16177115136.

The previous prime is 41601741679. The next prime is 41601741683. The reversal of 41601741680 is 8614710614.

41601741680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41601741683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523112 + ... + 597368.

It is an arithmetic number, because the mean of its divisors is an integer number (1243078920).

Almost surely, 241601741680 is an apocalyptic number.

41601741680 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 41601741680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49723156800).

41601741680 is an abundant number, since it is smaller than the sum of its proper divisors (57844571920).

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

41601741680 is a wasteful number, since it uses less digits than its factorization.

41601741680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74466 (or 74460 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 41601741680 in words is "forty-one billion, six hundred one million, seven hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 149 188 235 298 376 470 596 745 752 940 1192 1490 1880 2384 2980 3760 5960 7003 11920 14006 28012 35015 56024 70030 74257 112048 140060 148514 280120 297028 371285 560240 594056 742570 1188112 1485140 2970280 3490079 5940560 6980158 11064293 13960316 17450395 22128586 27920632 34900790 44257172 55321465 55841264 69801580 88514344 110642930 139603160 177028688 221285860 279206320 442571720 520021771 885143440 1040043542 2080087084 2600108855 4160174168 5200217710 8320348336 10400435420 20800870840 41601741680