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21551361984 = 263319364621
BaseRepresentation
bin10100000100100011…
…111010111111000000
32001121221200121211000
4110010203322333000
5323114122040414
613522304252000
71362030361065
oct240443727700
961557617730
1021551361984
11915a200269
124215611000
132055c111c9
141086358c6c
1586205db09
hex5048fafc0

21551361984 has 112 divisors (see below), whose sum is σ = 63686273440. Its totient is φ = 7146455040.

The previous prime is 21551361967. The next prime is 21551361989. The reversal of 21551361984 is 48916315512.

It is a happy number.

21551361984 is a `hidden beast` number, since 2 + 1 + 551 + 3 + 6 + 1 + 98 + 4 = 666.

It is a super-2 number, since 2×215513619842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21551361989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301194 + ... + 365814.

Almost surely, 221551361984 is an apocalyptic number.

21551361984 is a gapful number since it is divisible by the number (24) 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 21551361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31843136720).

21551361984 is an abundant number, since it is smaller than the sum of its proper divisors (42134911456).

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

21551361984 is a wasteful number, since it uses less digits than its factorization.

21551361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64835 (or 64819 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 21551361984 in words is "twenty-one billion, five hundred fifty-one million, three hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 193 216 288 386 432 576 579 772 864 1158 1544 1728 1737 2316 3088 3474 4632 5211 6176 6948 9264 10422 12352 13896 18528 20844 27792 37056 41688 55584 64621 83376 111168 129242 166752 193863 258484 333504 387726 516968 581589 775452 1033936 1163178 1550904 1744767 2067872 2326356 3101808 3489534 4135744 4652712 6203616 6979068 9305424 12407232 12471853 13958136 18610848 24943706 27916272 37221696 37415559 49887412 55832544 74831118 99774824 111665088 112246677 149662236 199549648 224493354 299324472 336740031 399099296 448986708 598648944 673480062 798198592 897973416 1197297888 1346960124 1795946832 2394595776 2693920248 3591893664 5387840496 7183787328 10775680992 21551361984