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21472133376 = 28353598941
BaseRepresentation
bin10011111111110101…
…101100000100000000
32001102102121101121010
4103333311230010000
5322433331232001
613510354200520
71360046056641
oct237765540400
961372541533
1021472133376
119119506681
1241b2b83140
132042690c85
141079a136c8
1585a10d8d6
hex4ffd6c100

21472133376 has 144 divisors (see below), whose sum is σ = 59218931520. Its totient is φ = 6902538240.

The previous prime is 21472133363. The next prime is 21472133387. The reversal of 21472133376 is 67333127412.

It is a super-2 number, since 2×214721333762 (a number of 21 digits) contains 22 as substring.

Its product of digits (127008) is a multiple of the sum of its prime factors (9072).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2397066 + ... + 2406006.

It is an arithmetic number, because the mean of its divisors is an integer number (411242580).

Almost surely, 221472133376 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 21472133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29609465760).

21472133376 is an abundant number, since it is smaller than the sum of its proper divisors (37746798144).

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

21472133376 is an equidigital number, since it uses as much as digits as its factorization.

21472133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9072 (or 9058 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The spelling of 21472133376 in words is "twenty-one billion, four hundred seventy-two million, one hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 59 64 96 106 118 128 159 177 192 212 236 256 318 354 384 424 472 636 708 768 848 944 1272 1416 1696 1888 2544 2832 3127 3392 3776 5088 5664 6254 6784 7552 8941 9381 10176 11328 12508 13568 15104 17882 18762 20352 22656 25016 26823 35764 37524 40704 45312 50032 53646 71528 75048 100064 107292 143056 150096 200128 214584 286112 300192 400256 429168 473873 527519 572224 600384 800512 858336 947746 1055038 1144448 1200768 1421619 1582557 1716672 1895492 2110076 2288896 2401536 2843238 3165114 3433344 3790984 4220152 5686476 6330228 6866688 7581968 8440304 11372952 12660456 15163936 16880608 22745904 25320912 27958507 30327872 33761216 45491808 50641824 55917014 60655744 67522432 83875521 90983616 101283648 111834028 121311488 135044864 167751042 181967232 202567296 223668056 335502084 363934464 405134592 447336112 671004168 894672224 1342008336 1789344448 2684016672 3578688896 5368033344 7157377792 10736066688 21472133376