Search a number
-
+
132922542983200 = 25523113613938119
BaseRepresentation
bin11110001110010001110000…
…111101010000100000100000
3122102122021022120020102100221
4132032101300331100200200
5114410300332000430300
61150411435004452424
736666223346164255
oct3616216075204040
9572567276212327
10132922542983200
1139398152259833
1212aa934284a114
135922707a7c069
1424b76b1d5942c
151057948bda31a
hex78e470f50820

132922542983200 has 144 divisors (see below), whose sum is σ = 335211010122240. Its totient is φ = 51416068608000.

The previous prime is 132922542983183. The next prime is 132922542983227. The reversal of 132922542983200 is 2389245229231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31783741 + ... + 35721859.

It is an arithmetic number, because the mean of its divisors is an integer number (2327854236960).

Almost surely, 2132922542983200 is an apocalyptic number.

132922542983200 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 132922542983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167605505061120).

132922542983200 is an abundant number, since it is smaller than the sum of its proper divisors (202288467139040).

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

132922542983200 is a wasteful number, since it uses less digits than its factorization.

132922542983200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939531 (or 3939518 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 132922542983200 in words is "one hundred thirty-two trillion, nine hundred twenty-two billion, five hundred forty-two million, nine hundred eighty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1361 1550 2480 2722 3100 4960 5444 6200 6805 10888 12400 13610 21776 24800 27220 34025 42191 43552 54440 68050 84382 108880 136100 168764 210955 217760 272200 337528 421910 544400 675056 843820 1054775 1088800 1350112 1687640 2109550 3375280 3938119 4219100 6750560 7876238 8438200 15752476 16876400 19690595 31504952 33752800 39381190 63009904 78762380 98452975 122081689 126019808 157524760 196905950 244163378 315049520 393811900 488326756 610408445 630099040 787623800 976653512 1220816890 1575247600 1953307024 2441633780 3052042225 3150495200 3906614048 4883267560 5359779959 6104084450 9766535120 10719559918 12208168900 19533070240 21439119836 24416337800 26798899795 42878239672 48832675600 53597799590 85756479344 97665351200 107195599180 133994498975 166153178729 171512958688 214391198360 267988997950 332306357458 428782396720 535977995900 664612714916 830765893645 857564793440 1071955991800 1329225429832 1661531787290 2143911983600 2658450859664 3323063574580 4153829468225 4287823967200 5316901719328 6646127149160 8307658936450 13292254298320 16615317872900 26584508596640 33230635745800 66461271491600 132922542983200