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1134356080500 = 223253158772
BaseRepresentation
bin10000100000011100111…
…001000010011101110100
311000102222020002111011200
4100200130321002131310
5122041130124034000
62225041015332500
7144645254410356
oct20403471023564
94012866074150
101134356080500
113a8094486855
12163a19681130
1382c7a7967a6
143cc902770d6
151e791c3a500
hex1081ce42774

1134356080500 has 108 divisors (see below), whose sum is σ = 3578740719372. Its totient is φ = 302475902400.

The previous prime is 1134356080463. The next prime is 1134356080513. The reversal of 1134356080500 is 50806534311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1134356080500 is a `hidden beast` number, since 1 + 1 + 3 + 43 + 5 + 608 + 0 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 30230081424 + 1104125999076 = 173868^2 + 1050774^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71438562 + ... + 71454438.

Almost surely, 21134356080500 is an apocalyptic number.

1134356080500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134356080500 is an abundant number, since it is smaller than the sum of its proper divisors (2444384638872).

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

1134356080500 is an frugal number, since it uses more digits than its factorization.

1134356080500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31779 (or 15887 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1134356080500 in words is "one trillion, one hundred thirty-four billion, three hundred fifty-six million, eighty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 15877 31754 47631 63508 79385 95262 142893 158770 190524 238155 285786 317540 396925 476310 571572 714465 793850 952620 1190775 1428930 1587700 1984625 2381550 2857860 3572325 3969250 4763100 5953875 7144650 7938500 11907750 14289300 17861625 23815500 35723250 71446500 252079129 504158258 756237387 1008316516 1260395645 1512474774 2268712161 2520791290 3024949548 3781186935 4537424322 5041582580 6301978225 7562373870 9074848644 11343560805 12603956450 15124747740 18905934675 22687121610 25207912900 31509891125 37811869350 45374243220 56717804025 63019782250 75623738700 94529673375 113435608050 126039564500 189059346750 226871216100 283589020125 378118693500 567178040250 1134356080500