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21797318880 = 25325121312479
BaseRepresentation
bin10100010011001110…
…001011000011100000
32002021002111112020200
4110103032023003200
5324120103201010
614002532105200
71401105103431
oct242316130340
962232445220
1021797318880
119276022327
124283a65200
132094b6952c
1410aaca1488
15878944cc0
hex51338b0e0

21797318880 has 144 divisors (see below), whose sum is σ = 74450638080. Its totient is φ = 5807361024.

The previous prime is 21797318771. The next prime is 21797318903. The reversal of 21797318880 is 8881379712.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×217973188802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1740481 + ... + 1752959.

It is an arithmetic number, because the mean of its divisors is an integer number (517018320).

Almost surely, 221797318880 is an apocalyptic number.

21797318880 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 21797318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37225319040).

21797318880 is an abundant number, since it is smaller than the sum of its proper divisors (52653319200).

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

21797318880 is a wasteful number, since it uses less digits than its factorization.

21797318880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13713 (or 13702 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 21797318880 in words is "twenty-one billion, seven hundred ninety-seven million, three hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1213 1440 2426 3639 4852 6065 7278 9704 10917 12130 12479 14556 18195 19408 21834 24260 24958 29112 36390 37437 38816 43668 48520 49916 54585 58224 62395 72780 74874 87336 97040 99832 109170 112311 116448 124790 145560 149748 174672 187185 194080 199664 218340 224622 249580 291120 299496 349344 374370 399328 436680 449244 499160 561555 582240 598992 748740 873360 898488 998320 1123110 1197984 1497480 1746720 1796976 1996640 2246220 2994960 3593952 4492440 5989920 8984880 15137027 17969760 30274054 45411081 60548108 75685135 90822162 121096216 136233243 151370270 181644324 227055405 242192432 272466486 302740540 363288648 454110810 484384864 544932972 605481080 681166215 726577296 908221620 1089865944 1210962160 1362332430 1453154592 1816443240 2179731888 2421924320 2724664860 3632886480 4359463776 5449329720 7265772960 10898659440 21797318880