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41641661100 = 223521337288577
BaseRepresentation
bin100110110010000010…
…010101001010101100
310222111002010120011110
4212302002111022230
51140240231123400
631044021152020
73002630164524
oct466202251254
9128432116143
1041641661100
11167296a5356
1280a185b610
133c08213c70
142030628684
15113abb4e50
hex9b20952ac

41641661100 has 144 divisors (see below), whose sum is σ = 133258394528. Its totient is φ = 9973186560.

The previous prime is 41641661093. The next prime is 41641661101. The reversal of 41641661100 is 116614614.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (41641661101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12 + ... + 288588.

Almost surely, 241641661100 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 41641661100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66629197264).

41641661100 is an abundant number, since it is smaller than the sum of its proper divisors (91616733428).

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

41641661100 is a wasteful number, since it uses less digits than its factorization.

41641661100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288644 (or 288637 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 41641661100 in words is "forty-one billion, six hundred forty-one million, six hundred sixty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1850 1924 1950 2220 2405 2775 2886 3700 3900 4810 5550 5772 7215 9620 11100 12025 14430 24050 28860 36075 48100 72150 144300 288577 577154 865731 1154308 1442885 1731462 2885770 3462924 3751501 4328655 5771540 7214425 7503002 8657310 10677349 11254503 14428850 15006004 17314620 18757505 21354698 21643275 22509006 28857700 32032047 37515010 42709396 43286550 45018012 53386745 56272515 64064094 75030020 86573100 93787525 106773490 112545030 128128188 138805537 160160235 187575050 213546980 225090060 266933725 277611074 281362575 320320470 375150100 416416611 533867450 555222148 562725150 640640940 694027685 800801175 832833222 1067734900 1125450300 1388055370 1601602350 1665666444 2082083055 2776110740 3203204700 3470138425 4164166110 6940276850 8328332220 10410415275 13880553700 20820830550 41641661100