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21444011010 = 2335449176887
BaseRepresentation
bin10011111110001010…
…011010010000000010
32001100110200121222000
4103332022122100002
5322404131323020
613503511324430
71356255041352
oct237612322002
961313617860
1021444011010
119104648954
1241a5680716
1320398c5816
141075db2b62
15857906090
hex4fe29a402

21444011010 has 64 divisors (see below), whose sum is σ = 57311712000. Its totient is φ = 5705634816.

The previous prime is 21444010999. The next prime is 21444011027. The reversal of 21444011010 is 1011044412.

21444011010 is a `hidden beast` number, since 214 + 440 + 1 + 1 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32787 + ... + 209673.

It is an arithmetic number, because the mean of its divisors is an integer number (895495500).

Almost surely, 221444011010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21444011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28655856000).

21444011010 is an abundant number, since it is smaller than the sum of its proper divisors (35867700990).

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

21444011010 is a wasteful number, since it uses less digits than its factorization.

21444011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177352 (or 177346 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21444011010 its reverse (1011044412), we get a palindrome (22455055422).

The spelling of 21444011010 in words is "twenty-one billion, four hundred forty-four million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 449 898 1347 2245 2694 4041 4490 6735 8082 12123 13470 20205 24246 40410 60615 121230 176887 353774 530661 884435 1061322 1591983 1768870 2653305 3183966 4775949 5306610 7959915 9551898 15919830 23879745 47759490 79422263 158844526 238266789 397111315 476533578 714800367 794222630 1191333945 1429600734 2144401101 2382667890 3574001835 4288802202 7148003670 10722005505 21444011010