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21206231892 = 22351910111369
BaseRepresentation
bin10011101111111111…
…010110101101010100
32000201220021012100000
4103233333112231110
5321412243410032
613424135051300
71350336665646
oct235777265524
960656235300
1021206231892
118aa240198a
124139b10b30
131ccc571811
141052598896
15841ad7e7c
hex4effd6b54

21206231892 has 144 divisors (see below), whose sum is σ = 59100350400. Its totient is φ = 6629817600.

The previous prime is 21206231843. The next prime is 21206231927. The reversal of 21206231892 is 29813260212.

It is a happy number.

21206231892 is a `hidden beast` number, since 2 + 1 + 20 + 623 + 1 + 8 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1859584 + ... + 1870952.

It is an arithmetic number, because the mean of its divisors is an integer number (410419100).

Almost surely, 221206231892 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 21206231892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29550175200).

21206231892 is an abundant number, since it is smaller than the sum of its proper divisors (37894118508).

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

21206231892 is a wasteful number, since it uses less digits than its factorization.

21206231892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11508 (or 11494 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21206231892 in words is "twenty-one billion, two hundred six million, two hundred thirty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 101 108 114 162 171 202 228 243 303 324 342 404 486 513 606 684 909 972 1026 1212 1539 1818 1919 2052 2727 3078 3636 3838 4617 5454 5757 6156 7676 8181 9234 10908 11369 11514 16362 17271 18468 22738 23028 24543 32724 34107 34542 45476 49086 51813 68214 69084 98172 102321 103626 136428 155439 204642 207252 216011 306963 310878 409284 432022 466317 613926 621756 648033 864044 920889 932634 1148269 1227852 1296066 1841778 1865268 1944099 2296538 2592132 2762667 3444807 3683556 3888198 4593076 5525334 5832297 6889614 7776396 10334421 11050668 11664594 13779228 17496891 20668842 21817111 23329188 31003263 34993782 41337684 43634222 52490673 62006526 65451333 69987564 87268444 93009789 104981346 124013052 130902666 186019578 196353999 209962692 261805332 279029367 372039156 392707998 558058734 589061997 785415996 1116117468 1178123994 1767185991 2356247988 3534371982 5301557973 7068743964 10603115946 21206231892