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21345221280 = 2535128934499
BaseRepresentation
bin10011111000010001…
…100011101010100000
32001002120210120221010
4103320101203222200
5322203334040110
613450022100520
71353645246555
oct237021435240
961076716833
1021345221280
119063903749
12417857a740
1320222b6b66
141066c18a2c
1584dde0020
hex4f8463aa0

21345221280 has 96 divisors (see below), whose sum is σ = 67291560000. Its totient is φ = 5687478272.

The previous prime is 21345221251. The next prime is 21345221291. The reversal of 21345221280 is 8212254312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601471 + ... + 635969.

It is an arithmetic number, because the mean of its divisors is an integer number (700953750).

Almost surely, 221345221280 is an apocalyptic number.

21345221280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21345221280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33645780000).

21345221280 is an abundant number, since it is smaller than the sum of its proper divisors (45946338720).

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

21345221280 is a wasteful number, since it uses less digits than its factorization.

21345221280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35806 (or 35798 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 21345221280 its reverse (8212254312), we get a palindrome (29557475592).

The spelling of 21345221280 in words is "twenty-one billion, three hundred forty-five million, two hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1289 2578 3867 5156 6445 7734 10312 12890 15468 19335 20624 25780 30936 34499 38670 41248 51560 61872 68998 77340 103120 103497 123744 137996 154680 172495 206240 206994 275992 309360 344990 413988 517485 551984 618720 689980 827976 1034970 1103968 1379960 1655952 2069940 2759920 3311904 4139880 5519840 8279760 16559520 44469211 88938422 133407633 177876844 222346055 266815266 355753688 444692110 533630532 667038165 711507376 889384220 1067261064 1334076330 1423014752 1778768440 2134522128 2668152660 3557536880 4269044256 5336305320 7115073760 10672610640 21345221280