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13531520160 = 253259396889
BaseRepresentation
bin11001001101000101…
…01001110010100000
31021221000221110001100
430212202221302200
5210203032121120
610114415234400
7656216011044
oct144642516240
937830843040
1013531520160
115814210414
122757818a00
131378541982
149251a8024
15542e44490
hex3268a9ca0

13531520160 has 72 divisors (see below), whose sum is σ = 46176317460. Its totient is φ = 3608404992.

The previous prime is 13531520159. The next prime is 13531520221. The reversal of 13531520160 is 6102513531.

13531520160 is a `hidden beast` number, since 1 + 353 + 152 + 0 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13529411856 + 2108304 = 116316^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4697005 + ... + 4699884.

Almost surely, 213531520160 is an apocalyptic number.

13531520160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13531520160 is an abundant number, since it is smaller than the sum of its proper divisors (32644797300).

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

13531520160 is a wasteful number, since it uses less digits than its factorization.

13531520160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9396910 (or 9396899 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 13531520160 in words is "thirteen billion, five hundred thirty-one million, five hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9396889 18793778 28190667 37587556 46984445 56381334 75175112 84572001 93968890 112762668 140953335 150350224 169144002 187937780 225525336 281906670 300700448 338288004 375875560 422860005 451050672 563813340 676576008 751751120 845720010 902101344 1127626680 1353152016 1503502240 1691440020 2255253360 2706304032 3382880040 4510506720 6765760080 13531520160