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21448231680 = 283511349429
BaseRepresentation
bin10011111110011010…
…100000101100000000
32001100202122001122010
4103332122200230000
5322411221403210
613504142012520
71356335650461
oct237632405400
961322561563
1021448231680
119106a70a07
1241a6b77140
13203a742965
141076790d68
15857e8b920
hex4fe6a0b00

21448231680 has 144 divisors (see below), whose sum is σ = 69107885280. Its totient is φ = 5668798464.

The previous prime is 21448231661. The next prime is 21448231691. The reversal of 21448231680 is 8613284412.

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, 409206 + ... + 458634.

It is an arithmetic number, because the mean of its divisors is an integer number (479915870).

Almost surely, 221448231680 is an apocalyptic number.

21448231680 is a gapful number since it is divisible by the number (20) 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 21448231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34553942640).

21448231680 is an abundant number, since it is smaller than the sum of its proper divisors (47659653600).

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

21448231680 is a wasteful number, since it uses less digits than its factorization.

21448231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49566 (or 49552 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 21448231680 in words is "twenty-one billion, four hundred forty-eight million, two hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 256 320 339 384 452 480 565 640 678 768 904 960 1130 1280 1356 1695 1808 1920 2260 2712 3390 3616 3840 4520 5424 6780 7232 9040 10848 13560 14464 18080 21696 27120 28928 36160 43392 49429 54240 72320 86784 98858 108480 144640 148287 197716 216960 247145 296574 395432 433920 494290 593148 741435 790864 988580 1186296 1482870 1581728 1977160 2372592 2965740 3163456 3954320 4745184 5585477 5931480 6326912 7908640 9490368 11170954 11862960 12653824 15817280 16756431 18980736 22341908 23725920 27927385 31634560 33512862 37961472 44683816 47451840 55854770 63269120 67025724 83782155 89367632 94903680 111709540 134051448 167564310 178735264 189807360 223419080 268102896 335128620 357470528 446838160 536205792 670257240 714941056 893676320 1072411584 1340514480 1429882112 1787352640 2144823168 2681028960 3574705280 4289646336 5362057920 7149410560 10724115840 21448231680