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21038345388 = 22326122342961
BaseRepresentation
bin10011100101111110…
…111010110010101100
32000022012100200100100
4103211332322302230
5321041304023023
613355340431100
71343230661634
oct234576726254
960265320310
1021038345388
118a16663305
1240b1848490
131ca384c4a8
1410381756c4
15831ec3c43
hex4e5fbacac

21038345388 has 72 divisors (see below), whose sum is σ = 54295719296. Its totient is φ = 6866726400.

The previous prime is 21038345381. The next prime is 21038345411. The reversal of 21038345388 is 88354383012.

21038345388 is a `hidden beast` number, since 2 + 103 + 8 + 3 + 4 + 538 + 8 = 666.

It is a super-2 number, since 2×210383453882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21038345381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468228 + ... + 511188.

Almost surely, 221038345388 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 21038345388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27147859648).

21038345388 is an abundant number, since it is smaller than the sum of its proper divisors (33257373908).

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

21038345388 is a wasteful number, since it uses less digits than its factorization.

21038345388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43255 (or 43250 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 21038345388 in words is "twenty-one billion, thirty-eight million, three hundred forty-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 223 244 366 446 549 669 732 892 1098 1338 2007 2196 2676 4014 8028 13603 27206 40809 42961 54412 81618 85922 122427 128883 163236 171844 244854 257766 386649 489708 515532 773298 1546596 2620621 5241242 7861863 9580303 10482484 15723726 19160606 23585589 28740909 31447452 38321212 47171178 57481818 86222727 94342356 114963636 172445454 344890908 584398483 1168796966 1753195449 2337593932 3506390898 5259586347 7012781796 10519172694 21038345388