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21502254144032 = 2519241445132969
BaseRepresentation
bin1001110001110011000100…
…01110000101101000100000
32211010121002001200000200022
410320321202032011220200
510304243104030102112
6113421555454013012
74346325621403634
oct470714216055040
984117061600608
1021502254144032
1169400669a1182
1224b33454a7168
13bcc86670837c
14544a0101adc4
152744ca094d72
hex138e62385a20

21502254144032 has 96 divisors (see below), whose sum is σ = 44756901604800. Its totient is φ = 10140429312000.

The previous prime is 21502254144017. The next prime is 21502254144097. The reversal of 21502254144032 is 23044145220512.

It is a junction number, because it is equal to n+sod(n) for n = 21502254143983 and 21502254144001.

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, 652179644 + ... + 652212612.

It is an arithmetic number, because the mean of its divisors is an integer number (466217725050).

Almost surely, 221502254144032 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 21502254144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22378450802400).

21502254144032 is an abundant number, since it is smaller than the sum of its proper divisors (23254647460768).

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

21502254144032 is a wasteful number, since it uses less digits than its factorization.

21502254144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37690 (or 37682 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 21502254144032 its reverse (23044145220512), we get a palindrome (44546399364544).

The spelling of 21502254144032 in words is "twenty-one trillion, five hundred two billion, two hundred fifty-four million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 241 304 482 608 964 1928 3856 4451 4579 7712 8902 9158 17804 18316 32969 35608 36632 65938 71216 73264 84569 131876 142432 146528 169138 263752 338276 527504 626411 676552 1055008 1072691 1252822 1353104 2145382 2505644 2706208 4290764 5011288 7945529 8581528 10022576 15891058 17163056 20045152 20381129 31782116 34326112 40762258 63564232 81524516 127128464 146745019 150965051 163049032 254256928 293490038 301930102 326098064 586980076 603860204 652196128 1173960152 1207720408 2347920304 2415440816 2788155361 4695840608 4830881632 5576310722 11152621444 22305242888 35365549579 44610485776 70731099158 89220971552 141462198316 282924396632 565848793264 671945442001 1131697586528 1343890884002 2687781768004 5375563536008 10751127072016 21502254144032