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13961685520 = 245174521069
BaseRepresentation
bin11010000000010111…
…00110101000010000
31100001000101002222201
431000023212220100
5212043142414040
610225223212544
71002661240336
oct150013465020
940030332881
1013961685520
115a15009a82
1228578a7154
1314166b55a3
14966381b56
1556aab5a9a
hex3402e6a10

13961685520 has 20 divisors (see below), whose sum is σ = 32460919020. Its totient is φ = 5584674176.

The previous prime is 13961685503. The next prime is 13961685527. The reversal of 13961685520 is 2558616931.

It can be written as a sum of positive squares in 2 ways, for example, as 10472656896 + 3489028624 = 102336^2 + 59068^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (13961685527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87260455 + ... + 87260614.

It is an arithmetic number, because the mean of its divisors is an integer number (1623045951).

Almost surely, 213961685520 is an apocalyptic number.

13961685520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13961685520 is an abundant number, since it is smaller than the sum of its proper divisors (18499233500).

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

13961685520 is a wasteful number, since it uses less digits than its factorization.

13961685520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174521082 (or 174521076 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 13961685520 in words is "thirteen billion, nine hundred sixty-one million, six hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 174521069 349042138 698084276 872605345 1396168552 1745210690 2792337104 3490421380 6980842760 13961685520