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41320107018680 = 23571036899207673
BaseRepresentation
bin10010110010100100101100…
…10011010000100110111000
312102022011102022011211211012
421121102112103100212320
520403442034344044210
6223514110051053052
711463164525416010
oct1131222623204670
9172264368154735
1041320107018680
1112190839220a76
1247741442a1188
131a09614299b99
14a2bc92246c40
154b9c6de9c305
hex2594964d09b8

41320107018680 has 128 divisors (see below), whose sum is σ = 107299340928000. Its totient is φ = 14027250097152.

The previous prime is 41320107018647. The next prime is 41320107018727. The reversal of 41320107018680 is 8681070102314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198863324 + ... + 199070996.

It is an arithmetic number, because the mean of its divisors is an integer number (838276101000).

Almost surely, 241320107018680 is an apocalyptic number.

41320107018680 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 41320107018680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53649670464000).

41320107018680 is an abundant number, since it is smaller than the sum of its proper divisors (65979233909320).

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

41320107018680 is a wasteful number, since it uses less digits than its factorization.

41320107018680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214693 (or 214689 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 41320107018680 in words is "forty-one trillion, three hundred twenty billion, one hundred seven million, eighteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 515 721 824 1030 1442 2060 2884 3605 4120 5768 6899 7210 13798 14420 27596 28840 34495 48293 55192 68990 96586 137980 193172 207673 241465 275960 386344 415346 482930 710597 830692 965860 1038365 1421194 1453711 1661384 1931720 2076730 2842388 2907422 3552985 4153460 4974179 5684776 5814844 7105970 7268555 8306920 9948358 11629688 14211940 14537110 19896716 21390319 24870895 28423880 29074220 39793432 42780638 49741790 58148440 85561276 99483580 106951595 149732233 171122552 198967160 213903190 299464466 427806380 598928932 748661165 855612760 1197857864 1432736027 1497322330 2865472054 2994644660 5730944108 5989289320 7163680135 10029152189 11461888216 14327360270 20058304378 28654720540 40116608756 50145760945 57309441080 80233217512 100291521890 147571810781 200583043780 295143621562 401166087560 590287243124 737859053905 1033002675467 1180574486248 1475718107810 2066005350934 2951436215620 4132010701868 5165013377335 5902872431240 8264021403736 10330026754670 20660053509340 41320107018680