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148193105041680 = 243517311171672241
BaseRepresentation
bin100001101100011111100101…
…011000100101100100010000
3201102201010022021211110021020
4201230133211120211210100
5123410443434342313210
61243102550030155440
743133412202054116
oct4154374530454420
9642633267743236
10148193105041680
1143245385456416
1214754997052b80
13648c71c00831a
142884828035ab6
15121ec9940a770
hex86c7e5625910

148193105041680 has 160 divisors (see below), whose sum is σ = 502113109275648. Its totient is φ = 35993771212800.

The previous prime is 148193105041643. The next prime is 148193105041691. The reversal of 148193105041680 is 86140501391841.

It is a super-2 number, since 2×1481931050416802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 585709641 + ... + 585962600.

Almost surely, 2148193105041680 is an apocalyptic number.

148193105041680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148193105041680 is an abundant number, since it is smaller than the sum of its proper divisors (353920004233968).

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

148193105041680 is a wasteful number, since it uses less digits than its factorization.

148193105041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171672305 (or 1171672299 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 148193105041680 in words is "one hundred forty-eight trillion, one hundred ninety-three billion, one hundred five million, forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 34 40 48 51 60 62 68 80 85 93 102 120 124 136 155 170 186 204 240 248 255 272 310 340 372 408 465 496 510 527 620 680 744 816 930 1020 1054 1240 1360 1488 1581 1860 2040 2108 2480 2635 3162 3720 4080 4216 5270 6324 7440 7905 8432 10540 12648 15810 21080 25296 31620 42160 63240 126480 1171672241 2343344482 3515016723 4686688964 5858361205 7030033446 9373377928 11716722410 14060066892 17575083615 18746755856 19918428097 23433444820 28120133784 35150167230 36321839471 39836856194 46866889640 56240267568 59755284291 70300334460 72643678942 79673712388 93733779280 99592140485 108965518413 119510568582 140600668920 145287357884 159347424776 181609197355 199184280970 217931036826 239021137164 281201337840 290574715768 298776421455 318694849552 363218394710 398368561940 435862073652 478042274328 544827592065 581149431536 597552842910 617471271007 726436789420 796737123880 871724147304 956084548656 1089655184130 1195105685820 1234942542014 1452873578840 1593474247760 1743448294608 1852413813021 2179310368260 2390211371640 2469885084028 2905747157680 3087356355035 3704827626042 4358620736520 4780422743280 4939770168056 6174712710070 7409655252084 8717241473040 9262069065105 9879540336112 12349425420140 14819310504168 18524138130210 24698850840280 29638621008336 37048276260420 49397701680560 74096552520840 148193105041680