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12053682080 = 2551119360457
BaseRepresentation
bin10110011100111010…
…01001011110100000
31011010001010111022122
423032131021132200
5144141220311310
65312024123412
7604462415156
oct131635113640
934101114278
1012053682080
115125a97830
122404906568
1311a130bb7b
14824bd33d6
154a8326555
hex2ce7497a0

12053682080 has 96 divisors (see below), whose sum is σ = 32700749760. Its totient is φ = 4152453120.

The previous prime is 12053682049. The next prime is 12053682083. The reversal of 12053682080 is 8028635021.

12053682080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12053682080.

It is not an unprimeable number, because it can be changed into a prime (12053682083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 146789 + ... + 213668.

It is an arithmetic number, because the mean of its divisors is an integer number (340632810).

Almost surely, 212053682080 is an apocalyptic number.

12053682080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12053682080 is an abundant number, since it is smaller than the sum of its proper divisors (20647067680).

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

12053682080 is a wasteful number, since it uses less digits than its factorization.

12053682080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360502 (or 360494 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 12053682080 in words is "twelve billion, fifty-three million, six hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 760 836 880 1045 1520 1672 1760 2090 3040 3344 4180 6688 8360 16720 33440 360457 720914 1441828 1802285 2883656 3604570 3965027 5767312 6848683 7209140 7930054 11534624 13697366 14418280 15860108 19825135 27394732 28836560 31720216 34243415 39650270 54789464 57673120 63440432 68486830 75335513 79300540 109578928 126880864 136973660 150671026 158601080 219157856 273947320 301342052 317202160 376677565 547894640 602684104 634404320 753355130 1095789280 1205368208 1506710260 2410736416 3013420520 6026841040 12053682080