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11742553224040 = 2357323399171863
BaseRepresentation
bin1010101011100000011010…
…1101101011001101101000
31112120120120201112211111011
42222320012231223031220
53014342222111132130
640550242100113304
72321241262352452
oct252700655531550
945516521484434
1011742553224040
113817a97192661
121397951395834
136724198b96b2
142c84b21912d2
151556b648952a
hexaae06b6b368

11742553224040 has 64 divisors (see below), whose sum is σ = 26783973216000. Its totient is φ = 4632453591552.

The previous prime is 11742553224013. The next prime is 11742553224043. The reversal of 11742553224040 is 4042235524711.

11742553224040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11742553223984 and 11742553224002.

It is not an unprimeable number, because it can be changed into a prime (11742553224043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68239149 + ... + 68411011.

It is an arithmetic number, because the mean of its divisors is an integer number (418499581500).

Almost surely, 211742553224040 is an apocalyptic number.

11742553224040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11742553224040 is an abundant number, since it is smaller than the sum of its proper divisors (15041419991960).

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

11742553224040 is a wasteful number, since it uses less digits than its factorization.

11742553224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195346 (or 195342 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

Adding to 11742553224040 its reverse (4042235524711), we get a palindrome (15784788748751).

The spelling of 11742553224040 in words is "eleven trillion, seven hundred forty-two billion, five hundred fifty-three million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 23399 46798 93596 116995 171863 187192 233990 343726 467980 687452 859315 935960 1374904 1708127 1718630 3416254 3437260 6832508 6874520 8540635 12545999 13665016 17081270 25091998 34162540 50183996 62729995 68325080 100367992 125459990 250919980 501839960 4021422337 8042844674 16085689348 20107111685 32171378696 40214223370 80428446740 160856893480 293563830601 587127661202 1174255322404 1467819153005 2348510644808 2935638306010 5871276612020 11742553224040