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19924800880 = 2456134911699
BaseRepresentation
bin10010100011100111…
…000101010101110000
31220102121000202110011
4102203213011111300
5311301222112010
613053041344304
71303520004325
oct224347052560
956377022404
1019924800880
1184a5037896
123a40938094
131b56c3880a
14d7030cb4c
157b9364a8a
hex4a39c5570

19924800880 has 80 divisors (see below), whose sum is σ = 47223540000. Its totient is φ = 7816135680.

The previous prime is 19924800859. The next prime is 19924800881. The reversal of 19924800880 is 8800842991.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19924800881) 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, 1697271 + ... + 1708969.

It is an arithmetic number, because the mean of its divisors is an integer number (590294250).

Almost surely, 219924800880 is an apocalyptic number.

19924800880 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 19924800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23611770000).

19924800880 is an abundant number, since it is smaller than the sum of its proper divisors (27298739120).

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

19924800880 is a wasteful number, since it uses less digits than its factorization.

19924800880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12122 (or 12116 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

The spelling of 19924800880 in words is "nineteen billion, nine hundred twenty-four million, eight hundred thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 349 488 610 698 976 1220 1396 1745 2440 2792 3490 4880 5584 6980 11699 13960 21289 23398 27920 42578 46796 58495 85156 93592 106445 116990 170312 187184 212890 233980 340624 425780 467960 713639 851560 935920 1427278 1703120 2854556 3568195 4082951 5709112 7136390 8165902 11418224 14272780 16331804 20414755 28545560 32663608 40829510 57091120 65327216 81659020 163318040 249060011 326636080 498120022 996240044 1245300055 1992480088 2490600110 3984960176 4981200220 9962400440 19924800880