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21807211350 = 2352437942797
BaseRepresentation
bin10100010011110011…
…111010001101010110
32002021210010010011110
4110103303322031112
5324130121230400
614003524115450
71401255144441
oct242363721526
962253103143
1021807211350
119280669721
124287235b86
132096c21172
1410ac318658
1587974ae50
hex513cfa356

21807211350 has 96 divisors (see below), whose sum is σ = 56041413120. Its totient is φ = 5607987840.

The previous prime is 21807211343. The next prime is 21807211351. The reversal of 21807211350 is 5311270812.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21807211351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488152 + ... + 530948.

It is an arithmetic number, because the mean of its divisors is an integer number (583764720).

Almost surely, 221807211350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21807211350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28020706560).

21807211350 is an abundant number, since it is smaller than the sum of its proper divisors (34234201770).

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

21807211350 is a wasteful number, since it uses less digits than its factorization.

21807211350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42934 (or 42929 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 21807211350 in words is "twenty-one billion, eight hundred seven million, two hundred eleven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 79 86 129 150 158 215 237 258 395 430 474 645 790 1075 1185 1290 1975 2150 2370 3225 3397 3950 5925 6450 6794 10191 11850 16985 20382 33970 42797 50955 84925 85594 101910 128391 169850 213985 254775 256782 427970 509550 641955 1069925 1283910 1840271 2139850 3209775 3380963 3680542 5520813 6419550 6761926 9201355 10142889 11041626 16904815 18402710 20285778 27604065 33809630 46006775 50714445 55208130 84524075 92013550 101428890 138020325 145381409 169048150 253572225 276040650 290762818 436144227 507144450 726907045 872288454 1453814090 2180721135 3634535225 4361442270 7269070450 10903605675 21807211350