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21406993408 = 21043539173
BaseRepresentation
bin10011111011111101…
…001100110000000000
32001020220000221100201
4103323331030300000
5322320142242113
613500110054544
71355325304333
oct237375146000
961226027321
1021406993408
119095764a99
1241951aa454
132032034608
1410710d861a
15854542cdd
hex4fbf4cc00

21406993408 has 88 divisors (see below), whose sum is σ = 44619326928. Its totient is φ = 10256203776.

The previous prime is 21406993373. The next prime is 21406993409. The reversal of 21406993408 is 80439960412.

It is not an unprimeable number, because it can be changed into a prime (21406993409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2329110 + ... + 2338282.

It is an arithmetic number, because the mean of its divisors is an integer number (507037806).

Almost surely, 221406993408 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 21406993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22309663464).

21406993408 is an abundant number, since it is smaller than the sum of its proper divisors (23212333520).

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

21406993408 is an equidigital number, since it uses as much as digits as its factorization.

21406993408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289 (or 9271 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 21406993408 in words is "twenty-one billion, four hundred six million, nine hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 43 53 64 86 106 128 172 212 256 344 424 512 688 848 1024 1376 1696 2279 2752 3392 4558 5504 6784 9116 9173 11008 13568 18232 18346 22016 27136 36464 36692 44032 54272 72928 73384 145856 146768 291712 293536 394439 486169 583424 587072 788878 972338 1166848 1174144 1577756 1944676 2333696 2348288 3155512 3889352 4696576 6311024 7778704 9393152 12622048 15557408 20905267 25244096 31114816 41810534 50488192 62229632 83621068 100976384 124459264 167242136 201952768 248918528 334484272 403905536 497837056 668968544 1337937088 2675874176 5351748352 10703496704 21406993408