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21532504315040 = 255793175373883
BaseRepresentation
bin1001110010101011011010…
…10001010101010010100000
32211020111011020200221011022
410321111231101111102200
510310242032101040130
6113443521304105012
74351446346536215
oct471255521252240
984214136627138
1021532504315040
11695197a375404
1224b9188165168
13c02677872944
14546270787b0c
1527519ab387e5
hex13956d4554a0

21532504315040 has 96 divisors (see below), whose sum is σ = 51676988186880. Its totient is φ = 8477148386304.

The previous prime is 21532504315039. The next prime is 21532504315043. The reversal of 21532504315040 is 4051340523512.

It is not an unprimeable number, because it can be changed into a prime (21532504315043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319939 + ... + 6693821.

It is an arithmetic number, because the mean of its divisors is an integer number (538301960280).

Almost surely, 221532504315040 is an apocalyptic number.

21532504315040 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 21532504315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25838494093440).

21532504315040 is an abundant number, since it is smaller than the sum of its proper divisors (30144483871840).

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

21532504315040 is a wasteful number, since it uses less digits than its factorization.

21532504315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374294 (or 5374286 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 21532504315040 its reverse (4051340523512), we get a palindrome (25583844838552).

The spelling of 21532504315040 in words is "twenty-one trillion, five hundred thirty-two billion, five hundred four million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 317 395 632 634 790 1264 1268 1580 1585 2528 2536 3160 3170 5072 6320 6340 10144 12640 12680 25043 25360 50086 50720 100172 125215 200344 250430 400688 500860 801376 1001720 2003440 4006880 5373883 10747766 21495532 26869415 42991064 53738830 85982128 107477660 171964256 214955320 424536757 429910640 849073514 859821280 1698147028 1703520911 2122683785 3396294056 3407041822 4245367570 6792588112 6814083644 8490735140 8517604555 13585176224 13628167288 16981470280 17035209110 27256334576 33962940560 34070418220 54512669152 67925881120 68140836440 134578151969 136281672880 269156303938 272563345760 538312607876 672890759845 1076625215752 1345781519690 2153250431504 2691563039380 4306500863008 5383126078760 10766252157520 21532504315040