Search a number
-
+
41666254146 = 23311834192017
BaseRepresentation
bin100110110011100000…
…001001010101000010
310222112210102000111000
4212303200021111002
51140313030113041
631050300232430
73003346213416
oct466340112502
9128483360430
1041666254146
1116741572490
1280a9b3b716
133c10344b6a
1420339cad46
15113ce21bb6
hex9b3809542

41666254146 has 128 divisors (see below), whose sum is σ = 102520857600. Its totient is φ = 12438074880.

The previous prime is 41666254139. The next prime is 41666254153. The reversal of 41666254146 is 64145266614.

It is an interprime number because it is at equal distance from previous prime (41666254139) and next prime (41666254153).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20656530 + ... + 20658546.

It is an arithmetic number, because the mean of its divisors is an integer number (800944200).

Almost surely, 241666254146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41666254146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51260428800).

41666254146 is an abundant number, since it is smaller than the sum of its proper divisors (60854603454).

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

41666254146 is a wasteful number, since it uses less digits than its factorization.

41666254146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2535 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 41666254146 in words is "forty-one billion, six hundred sixty-six million, two hundred fifty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 83 99 166 198 249 297 419 498 594 747 838 913 1257 1494 1826 2017 2241 2514 2739 3771 4034 4482 4609 5478 6051 7542 8217 9218 11313 12102 13827 16434 18153 22187 22626 24651 27654 34777 36306 41481 44374 49302 54459 66561 69554 82962 104331 108918 124443 133122 167411 199683 208662 248886 312993 334822 382547 399366 502233 599049 625986 765094 845123 938979 1004466 1147641 1198098 1506699 1690246 1841521 1877958 2295282 2535369 3013398 3442923 3683042 4520097 5070738 5524563 6885846 7606107 9040194 9296353 10328769 11049126 15212214 16573689 18592706 20657538 22818321 27889059 33147378 45636642 49721067 55778118 70145209 83667177 99442134 140290418 167334354 210435627 251001531 420871254 502003062 631306881 771597299 1262613762 1543194598 1893920643 2314791897 3787841286 4629583794 6944375691 13888751382 20833127073 41666254146