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21835818368 = 2771317110273
BaseRepresentation
bin10100010101100001…
…000010010110000000
32002100202221111121122
4110111201002112000
5324204432141433
614010425211412
71402053252020
oct242541022600
962322844548
1021835818368
119295828591
124294930b68
13209cb290b0
1410b2043a80
1587beec198
hex515842580

21835818368 has 128 divisors (see below), whose sum is σ = 56689657920. Its totient is φ = 8130134016.

The previous prime is 21835818359. The next prime is 21835818371. The reversal of 21835818368 is 86381853812.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142880 + ... + 253152.

Almost surely, 221835818368 is an apocalyptic number.

21835818368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21835818368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28344828960).

21835818368 is an abundant number, since it is smaller than the sum of its proper divisors (34853839552).

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

21835818368 is a wasteful number, since it uses less digits than its factorization.

21835818368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110324 (or 110312 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 53.

The spelling of 21835818368 in words is "twenty-one billion, eight hundred thirty-five million, eight hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 272 364 416 442 448 476 544 728 832 884 896 952 1088 1456 1547 1664 1768 1904 2176 2912 3094 3536 3808 5824 6188 7072 7616 11648 12376 14144 15232 24752 28288 49504 99008 110273 198016 220546 441092 771911 882184 1433549 1543822 1764368 1874641 2867098 3087644 3528736 3749282 5734196 6175288 7057472 7498564 10034843 11468392 12350576 13122487 14114944 14997128 20069686 22936784 24370333 24701152 26244974 29994256 40139372 45873568 48740666 49402304 52489948 59988512 80278744 91747136 97481332 98804608 104979896 119977024 160557488 170592331 183494272 194962664 209959792 239954048 321114976 341184662 389925328 419919584 642229952 682369324 779850656 839839168 1284459904 1364738648 1559701312 1679678336 2729477296 3119402624 5458954592 10917909184 21835818368