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21470065612016 = 24719372707100733
BaseRepresentation
bin1001110000110111000111…
…01000100101010011110000
32211000111222210021011202212
410320123203220211103300
510303231143244041031
6113355113442031252
74344106145401160
oct470334350452360
984014883234685
1021470065612016
1169284493506aa
1224a9061648528
13bc9806ac8718
1454322a07c5a0
1527374426712b
hex1386e3a254f0

21470065612016 has 160 divisors (see below), whose sum is σ = 51415020418560. Its totient is φ = 8478352954368.

The previous prime is 21470065612013. The next prime is 21470065612031. The reversal of 21470065612016 is 61021656007412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21470065612013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213087986 + ... + 213188718.

It is an arithmetic number, because the mean of its divisors is an integer number (321343877616).

Almost surely, 221470065612016 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 21470065612016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25707510209280).

21470065612016 is an abundant number, since it is smaller than the sum of its proper divisors (29944954806544).

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

21470065612016 is a wasteful number, since it uses less digits than its factorization.

21470065612016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103511 (or 103505 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 21470065612016 in words is "twenty-one trillion, four hundred seventy billion, sixty-five million, six hundred twelve thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 37 38 56 74 76 112 133 148 152 259 266 296 304 518 532 592 703 1036 1064 1406 2072 2128 2707 2812 4144 4921 5414 5624 9842 10828 11248 18949 19684 21656 37898 39368 43312 51433 75796 78736 100159 100733 102866 151592 200318 201466 205732 303184 360031 400636 402932 411464 701113 705131 720062 801272 805864 822928 1402226 1410262 1440124 1602544 1611728 1903021 1913927 2804452 2820524 2880248 3727121 3806042 3827854 5608904 5641048 5760496 7454242 7612084 7655708 11217808 11282096 13321147 13397489 14908484 15224168 15311416 26089847 26642294 26794978 29816968 30448336 30622832 52179694 53284588 53589956 59633936 70815299 104359388 106569176 107179912 141630598 208718776 213138352 214359824 272684231 283261196 417437552 495707093 545368462 566522392 991414186 1090736924 1133044784 1908789617 1982828372 2181473848 3817579234 3965656744 4362947696 5181000389 7635158468 7931313488 10089316547 10362000778 15270316936 20178633094 20724001556 30540633872 36267002723 40357266188 41448003112 70625215829 72534005446 80714532376 82896006224 141250431658 145068010892 161429064752 191697014393 282500863316 290136021784 383394028786 565001726632 580272043568 766788057572 1130003453264 1341879100751 1533576115144 2683758201502 3067152230288 5367516403004 10735032806008 21470065612016