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10132456560 = 243542218569
BaseRepresentation
bin10010110111111000…
…10000010001110000
3222011011000010100220
421123330100101300
5131222402102220
64353233413040
7506043313452
oct113374202160
928134003326
1010132456560
11432a564646
121b6940a180
13c56286135
146c19a22d2
153e4824540
hex25bf10470

10132456560 has 40 divisors (see below), whose sum is σ = 31410616080. Its totient is φ = 2701988352.

The previous prime is 10132456519. The next prime is 10132456571. The reversal of 10132456560 is 6565423101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21109045 + ... + 21109524.

It is an arithmetic number, because the mean of its divisors is an integer number (785265402).

Almost surely, 210132456560 is an apocalyptic number.

10132456560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132456560 is an abundant number, since it is smaller than the sum of its proper divisors (21278159520).

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

10132456560 is a wasteful number, since it uses less digits than its factorization.

10132456560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42218585 (or 42218579 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 10132456560 its reverse (6565423101), we get a palindrome (16697879661).

The spelling of 10132456560 in words is "ten billion, one hundred thirty-two million, four hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 42218569 84437138 126655707 168874276 211092845 253311414 337748552 422185690 506622828 633278535 675497104 844371380 1013245656 1266557070 1688742760 2026491312 2533114140 3377485520 5066228280 10132456560