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21063605357440 = 275257293437071
BaseRepresentation
bin1001100101000010000001…
…01101110000101110000000
32202120122211212120212112001
410302201000231300232000
510230101230432414230
6112444253044113344
74302536530262542
oct462410055605600
982518755525461
1021063605357440
116791030108438
122442326995854
13b9a39bc44249
1452b6abcdd692
15267da561e0ca
hex132840b70b80

21063605357440 has 128 divisors (see below), whose sum is σ = 50723761576320. Its totient is φ = 8363995299840.

The previous prime is 21063605357419. The next prime is 21063605357479. The reversal of 21063605357440 is 4475350636012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 47974105 + ... + 48411175.

It is an arithmetic number, because the mean of its divisors is an integer number (396279387315).

Almost surely, 221063605357440 is an apocalyptic number.

21063605357440 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 21063605357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25361880788160).

21063605357440 is an abundant number, since it is smaller than the sum of its proper divisors (29660156218880).

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

21063605357440 is a wasteful number, since it uses less digits than its factorization.

21063605357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437640 (or 437628 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 21063605357440 in words is "twenty-one trillion, sixty-three billion, six hundred five million, three hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 257 293 320 514 586 640 1028 1172 1285 1465 2056 2344 2570 2930 4112 4688 5140 5860 8224 9376 10280 11720 16448 18752 20560 23440 32896 37504 41120 46880 75301 82240 93760 150602 164480 187520 301204 376505 437071 602408 753010 874142 1204816 1506020 1748284 2185355 2409632 3012040 3496568 4370710 4819264 6024080 6993136 8741420 9638528 12048160 13986272 17482840 24096320 27972544 34965680 48192640 55945088 69931360 112327247 128061803 139862720 224654494 256123606 279725440 449308988 512247212 561636235 640309015 898617976 1024494424 1123272470 1280618030 1797235952 2048988848 2246544940 2561236060 3594471904 4097977696 4493089880 5122472120 7188943808 8195955392 8986179760 10244944240 14377887616 16391910784 17972359520 20489888480 32911883371 35944719040 40979776960 65823766742 71889438080 81959553920 131647533484 164559416855 263295066968 329118833710 526590133936 658237667420 1053180267872 1316475334840 2106360535744 2632950669680 4212721071488 5265901339360 10531802678720 21063605357440