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132256461346320 = 24351016763806761
BaseRepresentation
bin11110000100100101011011…
…011001011101011000010000
3122100021121001012010101201010
4132010211123121131120100
5114313342213101040240
61145141440215410520
736600133255531623
oct3604453331353020
9570247035111633
10132256461346320
11391607175693a3
1212a00231383a40
1358a496671448c
142493365641dba
151045462758280
hex78495b65d610

132256461346320 has 160 divisors (see below), whose sum is σ = 414116123693184. Its totient is φ = 34913991168000.

The previous prime is 132256461346309. The next prime is 132256461346367. The reversal of 132256461346320 is 23643164652231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 132256461346320.

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, 163531740 + ... + 164338500.

Almost surely, 2132256461346320 is an apocalyptic number.

132256461346320 is a gapful number since it is divisible by the number (10) 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 132256461346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207058061846592).

132256461346320 is an abundant number, since it is smaller than the sum of its proper divisors (281859662346864).

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

132256461346320 is a wasteful number, since it uses less digits than its factorization.

132256461346320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813641 (or 813635 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 132256461346320 in words is "one hundred thirty-two trillion, two hundred fifty-six billion, four hundred sixty-one million, three hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 6763 8080 12120 13526 20289 24240 27052 33815 40578 54104 67630 81156 101445 108208 135260 162312 202890 270520 324624 405780 541040 683063 806761 811560 1366126 1613522 1623120 2049189 2420283 2732252 3227044 3415315 4033805 4098378 4840566 5464504 6454088 6830630 8067610 8196756 9681132 10245945 10929008 12101415 12908176 13661260 16135220 16393512 19362264 20491890 24202830 27322520 32270440 32787024 38724528 40983780 48405660 54645040 64540880 81482861 81967560 96811320 162965722 163935120 193622640 244448583 325931444 407414305 488897166 651862888 814828610 977794332 1222242915 1303725776 1629657220 1955588664 2444485830 3259314440 3911177328 4888971660 5456124643 6518628880 9777943320 10912249286 16368373929 19555886640 21824498572 27280623215 32736747858 43648997144 54561246430 65473495716 81841869645 87297994288 109122492860 130946991432 163683739290 218244985720 261893982864 327367478580 436489971440 551068588943 654734957160 1102137177886 1309469914320 1653205766829 2204274355772 2755342944715 3306411533658 4408548711544 5510685889430 6612823067316 8266028834145 8817097423088 11021371778860 13225646134632 16532057668290 22042743557720 26451292269264 33064115336580 44085487115440 66128230673160 132256461346320