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41212513575048 = 23341653109158789
BaseRepresentation
bin10010101111011100010010…
…01110110110000010001000
312101220212200221010121011110
421113232021032312002020
520400211211433400143
6223352433430130320
711452335335266614
oct1127561116660210
9171825627117143
1041212513575048
111214a146561322
1247573174b09a0
1319cc428542c3a
14a269a690c344
154b70732c3533
hex257b893b6088

41212513575048 has 128 divisors (see below), whose sum is σ = 105804560534400. Its totient is φ = 13369425868800.

The previous prime is 41212513575043. The next prime is 41212513575059. The reversal of 41212513575048 is 84057531521214.

It is a junction number, because it is equal to n+sod(n) for n = 41212513574988 and 41212513575006.

It is not an unprimeable number, because it can be changed into a prime (41212513575043) 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, 700994838 + ... + 701053626.

It is an arithmetic number, because the mean of its divisors is an integer number (826598129175).

Almost surely, 241212513575048 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 41212513575048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52902280267200).

41212513575048 is an abundant number, since it is smaller than the sum of its proper divisors (64592046959352).

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

41212513575048 is a wasteful number, since it uses less digits than its factorization.

41212513575048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60583 (or 60579 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 41212513575048 in words is "forty-one trillion, two hundred twelve billion, five hundred thirteen million, five hundred seventy-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 653 984 1091 1306 1959 2182 2612 3273 3918 4364 5224 6546 7836 8728 13092 15672 26184 26773 44731 53546 58789 80319 89462 107092 117578 134193 160638 176367 178924 214184 235156 268386 321276 352734 357848 470312 536772 642552 705468 712423 1073544 1410936 1424846 2137269 2410349 2849692 4274538 4820698 5699384 7231047 8549076 9641396 14462094 17098152 19282792 28924188 29209343 38389217 57848376 58418686 64138799 76778434 87628029 115167651 116837372 128277598 153556868 175256058 192416397 230335302 233674744 256555196 307113736 350512116 384832794 460670604 513110392 701024232 769665588 921341208 1539331176 1573957897 2629690759 3147915794 4721873691 5259381518 6295831588 7889072277 9443747382 10518763036 12591663176 15778144554 18887494764 21037526072 31556289108 37774989528 41882635747 63112578216 83765271494 125647907241 167530542988 251295814482 335061085976 502591628964 1005183257928 1717188065627 3434376131254 5151564196881 6868752262508 10303128393762 13737504525016 20606256787524 41212513575048