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21412604416 = 29747317401
BaseRepresentation
bin10011111100010010…
…100110101000000000
32001021021121000012211
4103330102212220000
5322323111320131
613500430231504
71355424064060
oct237422465000
961237530184
1021412604416
119098947695
124197055594
13203324a538
141071b593a0
15854ca05b1
hex4fc4a6a00

21412604416 has 160 divisors (see below), whose sum is σ = 50218071552. Its totient is φ = 8930918400.

The previous prime is 21412604413. The next prime is 21412604449. The reversal of 21412604416 is 61440621412.

It is a super-2 number, since 2×214126044162 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21412604413) 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, 53397816 + ... + 53398216.

Almost surely, 221412604416 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 21412604416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25109035776).

21412604416 is an abundant number, since it is smaller than the sum of its proper divisors (28805467136).

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

21412604416 is an equidigital number, since it uses as much as digits as its factorization.

21412604416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 21412604416 in words is "twenty-one billion, four hundred twelve million, six hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 317 329 376 401 448 512 634 658 752 802 896 1268 1316 1504 1604 1792 2219 2536 2632 2807 3008 3208 3584 4438 5072 5264 5614 6016 6416 8876 10144 10528 11228 12032 12832 14899 17752 18847 20288 21056 22456 24064 25664 29798 35504 37694 40576 42112 44912 51328 59596 71008 75388 81152 84224 89824 102656 104293 119192 127117 131929 142016 150776 162304 168448 179648 205312 208586 238384 254234 263858 284032 301552 359296 417172 476768 508468 527716 568064 603104 718592 834344 889819 953536 1016936 1055432 1136128 1206208 1437184 1668688 1779638 1907072 2033872 2110864 2412416 3337376 3559276 3814144 4067744 4221728 4824832 5974499 6674752 7118552 7628288 8135488 8443456 9649664 11948998 13349504 14237104 16270976 16886912 23897996 26699008 28474208 32541952 33773824 41821493 47795992 53398016 56948416 65083904 67547648 83642986 95591984 113896832 167285972 191183968 227793664 334571944 382367936 455587328 669143888 764735872 1338287776 1529471744 2676575552 3058943488 5353151104 10706302208 21412604416