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21484206432 = 25321310753629
BaseRepresentation
bin10100000000100011…
…101111100101100000
32001110021022202201100
4110000203233211200
5322444424101212
613511505034400
71360253512233
oct240043574540
961407282640
1021484206432
119125302307
1241b7025a00
13204502a2b0
14107b47741a
1585b1e5bdc
hex5008ef960

21484206432 has 144 divisors (see below), whose sum is σ = 66411530640. Its totient is φ = 6548622336.

The previous prime is 21484206431. The next prime is 21484206437. The reversal of 21484206432 is 23460248412.

21484206432 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 4 + 2 + 0 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×214842064322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21484206431) 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, 373794 + ... + 427422.

It is an arithmetic number, because the mean of its divisors is an integer number (461191185).

Almost surely, 221484206432 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 21484206432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33205765320).

21484206432 is an abundant number, since it is smaller than the sum of its proper divisors (44927324208).

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

21484206432 is a wasteful number, since it uses less digits than its factorization.

21484206432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53765 (or 53754 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 21484206432 in words is "twenty-one billion, four hundred eighty-four million, two hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 107 117 144 156 208 214 234 288 312 321 416 428 468 624 642 856 936 963 1248 1284 1391 1712 1872 1926 2568 2782 3424 3744 3852 4173 5136 5564 7704 8346 10272 11128 12519 15408 16692 22256 25038 30816 33384 44512 50076 53629 66768 100152 107258 133536 160887 200304 214516 321774 400608 429032 482661 643548 697177 858064 965322 1287096 1394354 1716128 1930644 2091531 2574192 2788708 3861288 4183062 5148384 5577416 5738303 6274593 7722576 8366124 11154832 11476606 12549186 15445152 16732248 17214909 22309664 22953212 25098372 33464496 34429818 45906424 50196744 51644727 66928992 68859636 74597939 91812848 100393488 103289454 137719272 149195878 183625696 200786976 206578908 223793817 275438544 298391756 413157816 447587634 550877088 596783512 671381451 826315632 895175268 1193567024 1342762902 1652631264 1790350536 2387134048 2685525804 3580701072 5371051608 7161402144 10742103216 21484206432