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21355012320640 = 275411613504547
BaseRepresentation
bin1001101101100000110011…
…11011000110110110000000
32210121112000112012101210221
410312300121323012312000
510244340031123230030
6113230205054432424
74332564053506615
oct466603173066600
983545015171727
1021355012320640
116893678804a29
12248a8b2502714
13bbb9cc70169b
1453b833ac450c
1527075d6dce7a
hex136c19ec6d80

21355012320640 has 128 divisors (see below), whose sum is σ = 52329518730720. Its totient is φ = 8328480276480.

The previous prime is 21355012320637. The next prime is 21355012320659. The reversal of 21355012320640 is 4602321055312.

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

It is a junction number, because it is equal to n+sod(n) for n = 21355012320596 and 21355012320605.

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, 42072847 + ... + 42577393.

Almost surely, 221355012320640 is an apocalyptic number.

21355012320640 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 21355012320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26164759365360).

21355012320640 is an abundant number, since it is smaller than the sum of its proper divisors (30974506410080).

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

21355012320640 is a wasteful number, since it uses less digits than its factorization.

21355012320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506220 (or 506208 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 21355012320640 its reverse (4602321055312), we get a palindrome (25957333375952).

The spelling of 21355012320640 in words is "twenty-one trillion, three hundred fifty-five billion, twelve million, three hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1613 1640 2624 3226 3280 5248 6452 6560 8065 12904 13120 16130 25808 26240 32260 51616 64520 66133 103232 129040 132266 206464 258080 264532 330665 504547 516160 529064 661330 1009094 1032320 1058128 1322660 2018188 2116256 2522735 2645320 4036376 4232512 5045470 5290640 8072752 8465024 10090940 10581280 16145504 20181880 20686427 21162560 32291008 40363760 41372854 42325120 64582016 80727520 82745708 103432135 161455040 165491416 206864270 322910080 330982832 413728540 661965664 813834311 827457080 1323931328 1627668622 1654914160 2647862656 3255337244 3309828320 4069171555 6510674488 6619656640 8138343110 13021348976 13239313280 16276686220 26042697952 32553372440 33367206751 52085395904 65106744880 66734413502 104170791808 130213489760 133468827004 166836033755 260426979520 266937654008 333672067510 520853959040 533875308016 667344135020 1067750616032 1334688270040 2135501232064 2669376540080 4271002464128 5338753080160 10677506160320 21355012320640