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12452780560 = 2451141933773
BaseRepresentation
bin10111001100011111…
…00101101000010000
31012010212002210111211
423212033211220100
5201000402434220
65415402145504
7620406613453
oct134617455020
935125083454
1012452780560
1153102a7390
1224b64b2294
131235bc600c
14861c0149a
154cd3acb5a
hex2e63e5a10

12452780560 has 80 divisors (see below), whose sum is σ = 31661098560. Its totient is φ = 4517342720.

The previous prime is 12452780539. The next prime is 12452780579. The reversal of 12452780560 is 6508725421.

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

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

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, 351834 + ... + 385606.

It is an arithmetic number, because the mean of its divisors is an integer number (395763732).

Almost surely, 212452780560 is an apocalyptic number.

12452780560 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 12452780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15830549280).

12452780560 is an abundant number, since it is smaller than the sum of its proper divisors (19208318000).

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

12452780560 is a wasteful number, since it uses less digits than its factorization.

12452780560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34216 (or 34210 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 12452780560 in words is "twelve billion, four hundred fifty-two million, seven hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 419 440 838 880 1676 2095 3352 4190 4609 6704 8380 9218 16760 18436 23045 33520 33773 36872 46090 67546 73744 92180 135092 168865 184360 270184 337730 368720 371503 540368 675460 743006 1350920 1486012 1857515 2701840 2972024 3715030 5944048 7430060 14150887 14860120 28301774 29720240 56603548 70754435 113207096 141508870 155659757 226414192 283017740 311319514 566035480 622639028 778298785 1132070960 1245278056 1556597570 2490556112 3113195140 6226390280 12452780560