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189236078783120 = 24537101363110669
BaseRepresentation
bin101011000001101111110101…
…010000010010101010010000
3220211000210101200212010221002
4223001233311100102222100
5144300420442132024440
61510245504321321132
754600566304506615
oct5301576520225220
9824023350763832
10189236078783120
115532963010a376
1219283277a961a8
138178b68a40395
1434a310a05450c
1516d26e847e115
hexac1bf5412a90

189236078783120 has 80 divisors (see below), whose sum is σ = 452311142577840. Its totient is φ = 73575931410432.

The previous prime is 189236078783057. The next prime is 189236078783149. The reversal of 189236078783120 is 21387870632981.

It can be written as a sum of positive squares in 8 ways, for example, as 2320369772176 + 186915709010944 = 1523276^2 + 13671712^2 .

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

It is a super-2 number, since 2×1892360787831202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28556855 + ... + 34553814.

It is an arithmetic number, because the mean of its divisors is an integer number (5653889282223).

Almost surely, 2189236078783120 is an apocalyptic number.

189236078783120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189236078783120 is an abundant number, since it is smaller than the sum of its proper divisors (263075063794720).

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

189236078783120 is a wasteful number, since it uses less digits than its factorization.

189236078783120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63111732 (or 63111726 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 65.

The spelling of 189236078783120 in words is "one hundred eighty-nine trillion, two hundred thirty-six billion, seventy-eight million, seven hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1013 1480 2026 2960 4052 5065 8104 10130 16208 20260 37481 40520 74962 81040 149924 187405 299848 374810 599696 749620 1499240 2998480 63110669 126221338 252442676 315553345 504885352 631106690 1009770704 1262213380 2335094753 2524426760 4670189506 5048853520 9340379012 11675473765 18680758024 23350947530 37361516048 46701895060 63931107697 93403790120 127862215394 186807580240 255724430788 319655538485 511448861576 639311076970 1022897723152 1278622153940 2365450984789 2557244307880 4730901969578 5114488615760 9461803939156 11827254923945 18923607878312 23654509847890 37847215756624 47309019695780 94618039391560 189236078783120