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12271750780 = 22519293730097
BaseRepresentation
bin10110110110111010…
…00000111001111100
31011200020110112100011
423123131000321330
5200113032011110
65345414113004
7613051106032
oct133335007174
934606415304
1012271750780
1152280a0aa3
12246594b764
1312075514c3
14845b5a552
154bc54e48a
hex2db740e7c

12271750780 has 96 divisors (see below), whose sum is σ = 28821844800. Its totient is φ = 4368494592.

The previous prime is 12271750769. The next prime is 12271750787. The reversal of 12271750780 is 8705717221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12271750787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392692 + ... + 422788.

It is an arithmetic number, because the mean of its divisors is an integer number (300227550).

Almost surely, 212271750780 is an apocalyptic number.

12271750780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12271750780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410922400).

12271750780 is an abundant number, since it is smaller than the sum of its proper divisors (16550094020).

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

12271750780 is a wasteful number, since it uses less digits than its factorization.

12271750780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30191 (or 30189 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 40.

The spelling of 12271750780 in words is "twelve billion, two hundred seventy-one million, seven hundred fifty thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 19 20 29 37 38 58 74 76 95 116 145 148 185 190 290 370 380 551 580 703 740 1073 1102 1406 2146 2204 2755 2812 3515 4292 5365 5510 7030 10730 11020 14060 20387 21460 30097 40774 60194 81548 101935 120388 150485 203870 300970 407740 571843 601940 872813 1113589 1143686 1745626 2227178 2287372 2859215 3491252 4364065 4454356 5567945 5718430 8728130 11135890 11436860 16583447 17456260 21158191 22271780 32294081 33166894 42316382 64588162 66333788 82917235 84632764 105790955 129176324 161470405 165834470 211581910 322940810 331668940 423163820 613587539 645881620 1227175078 2454350156 3067937695 6135875390 12271750780