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21850186688 = 2611293105929
BaseRepresentation
bin10100010110010111…
…110110001111000000
32002101202222111020122
4110112113312033000
5324222121433223
614012101155412
71402316344121
oct242627661700
962352874218
1021850186688
1192a2951730
1242996bbb68
1320a2aba065
1410b3d04048
1587d3d95c8
hex5165f63c0

21850186688 has 56 divisors (see below), whose sum is σ = 47462572080. Its totient is φ = 9897912320.

The previous prime is 21850186679. The next prime is 21850186693. The reversal of 21850186688 is 88668105812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153308 + ... + 259236.

It is an arithmetic number, because the mean of its divisors is an integer number (847545930).

Almost surely, 221850186688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21850186688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23731286040).

21850186688 is an abundant number, since it is smaller than the sum of its proper divisors (25612385392).

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

21850186688 is a wasteful number, since it uses less digits than its factorization.

21850186688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106245 (or 106235 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 53.

The spelling of 21850186688 in words is "twenty-one billion, eight hundred fifty million, one hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 293 352 586 704 1172 2344 3223 4688 6446 9376 12892 18752 25784 51568 103136 105929 206272 211858 423716 847432 1165219 1694864 2330438 3389728 4660876 6779456 9321752 18643504 31037197 37287008 62074394 74574016 124148788 248297576 341409167 496595152 682818334 993190304 1365636668 1986380608 2731273336 5462546672 10925093344 21850186688