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21152612320 = 255727169691
BaseRepresentation
bin10011101100110010…
…110011111111100000
32000121011101001002221
4103230302303333200
5321310032043240
613414541520424
71346116144450
oct235462637740
960534331087
1021152612320
118a75109794
124123b73114
131cc1419a68
1410493dbd60
1583c045a4a
hex4eccb3fe0

21152612320 has 96 divisors (see below), whose sum is σ = 57323621376. Its totient is φ = 7225459200.

The previous prime is 21152612317. The next prime is 21152612363. The reversal of 21152612320 is 2321625112.

It is a congruent number.

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, 268675 + ... + 338365.

It is an arithmetic number, because the mean of its divisors is an integer number (597121056).

Almost surely, 221152612320 is an apocalyptic number.

21152612320 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 21152612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28661810688).

21152612320 is an abundant number, since it is smaller than the sum of its proper divisors (36171009056).

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

21152612320 is a wasteful number, since it uses less digits than its factorization.

21152612320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69984 (or 69976 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 21152612320 in words is "twenty-one billion, one hundred fifty-two million, six hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 271 280 542 560 1084 1120 1355 1897 2168 2710 3794 4336 5420 7588 8672 9485 10840 15176 18970 21680 30352 37940 43360 60704 69691 75880 139382 151760 278764 303520 348455 487837 557528 696910 975674 1115056 1393820 1951348 2230112 2439185 2787640 3902696 4878370 5575280 7805392 9756740 11150560 15610784 18886261 19513480 37772522 39026960 75545044 78053920 94431305 132203827 151090088 188862610 264407654 302180176 377725220 528815308 604360352 661019135 755450440 1057630616 1322038270 1510900880 2115261232 2644076540 3021801760 4230522464 5288153080 10576306160 21152612320