Search a number
-
+
189229720248880 = 245171332011044583
BaseRepresentation
bin101011000001101001111010…
…010000011010001000110000
3220211000011222120011010201221
4223001221322100122020300
5144300314431340431010
61510242533340034424
754600252605041123
oct5301517220321060
9824004876133657
10189229720248880
11553269679654a3
1219281ba2532a14
1381783945c0a9c
1434a2aa57963ba
1516d2475123dda
hexac1a7a41a230

189229720248880 has 80 divisors (see below), whose sum is σ = 465842989836864. Its totient is φ = 71238821068800.

The previous prime is 189229720248869. The next prime is 189229720248883. The reversal of 189229720248880 is 88842027922981.

189229720248880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1892297202488803 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (189229720248883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 180631069 + ... + 181675651.

Almost surely, 2189229720248880 is an apocalyptic number.

189229720248880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189229720248880 is an abundant number, since it is smaller than the sum of its proper divisors (276613269587984).

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

189229720248880 is a wasteful number, since it uses less digits than its factorization.

189229720248880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177814 (or 1177808 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 70.

The spelling of 189229720248880 in words is "one hundred eighty-nine trillion, two hundred twenty-nine billion, seven hundred twenty million, two hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 133201 266402 532804 666005 1044583 1065608 1332010 2089166 2131216 2264417 2664020 4178332 4528834 5222915 5328040 8356664 9057668 10445830 10656080 11322085 16713328 17757911 18115336 20891660 22644170 35515822 36230672 41783320 45288340 71031644 83566640 88789555 90576680 142063288 177579110 181153360 284126576 355158220 710316440 1420632880 139139500183 278279000366 556558000732 695697500915 1113116001464 1391395001830 2226232002928 2365371503111 2782790003660 4730743006222 5565580007320 9461486012444 11131160014640 11826857515555 18922972024888 23653715031110 37845944049776 47307430062220 94614860124440 189229720248880