Search a number
-
+
189220052809984 = 28721228192
BaseRepresentation
bin101011000001100000111010…
…000010000011100100000000
3220210222021000211011100200111
4223001200322002003210000
5144300140132004404414
61510234254153201104
754566461206132100
oct5301407202034400
9823867024140614
10189220052809984
1155322856944579
1219280144a00194
1381774b3792041
1434a2429881200
1516d20ab5578c4
hexac183a083900

189220052809984 has 81 divisors (see below), whose sum is σ = 439370005805787. Its totient is φ = 81093648072192.

The previous prime is 189220052809979. The next prime is 189220052810123. The reversal of 189220052809984 is 489908250022981.

The square root of 189220052809984 is 13755728.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1540580127 + ... + 1540702945.

Almost surely, 2189220052809984 is an apocalyptic number.

189220052809984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

189220052809984 is the 13755728-th square number.

It is an amenable number.

189220052809984 is an abundant number, since it is smaller than the sum of its proper divisors (250149952995803).

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

189220052809984 is an frugal number, since it uses more digits than its factorization.

189220052809984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245668 (or 122828 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 67.

The spelling of 189220052809984 in words is "one hundred eighty-nine trillion, two hundred twenty billion, fifty-two million, eight hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 122819 245638 491276 859733 982552 1719466 1965104 3438932 3930208 6018131 6877864 7860416 12036262 13755728 15720832 24072524 27511456 31441664 48145048 55022912 96290096 110045824 192580192 220091648 385160384 770320768 1540641536 15084506761 30169013522 60338027044 105591547327 120676054088 211183094654 241352108176 422366189308 482704216352 739140831289 844732378616 965408432704 1478281662578 1689464757232 1930816865408 2956563325156 3378929514464 3861633730816 5913126650312 6757859028928 11826253300624 13515718057856 23652506601248 27031436115712 47305013202496 94610026404992 189220052809984