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13170235520 = 275131582961
BaseRepresentation
bin11000100010000000…
…11101100010000000
31020222212010021200202
430101000131202000
5203433040014040
610014511504332
7644241104051
oct142100354200
936885107622
1013170235520
115649288972
1226768280a8
13131b737290
148cd200728
1552137c015
hex31101d880

13170235520 has 64 divisors (see below), whose sum is σ = 33907046040. Its totient is φ = 4862853120.

The previous prime is 13170235513. The next prime is 13170235543. The reversal of 13170235520 is 2553207131.

It can be written as a sum of positive squares in 4 ways, for example, as 10421959744 + 2748275776 = 102088^2 + 52424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×131702355203 (a number of 31 digits) contains 333 as substring.

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, 783161 + ... + 799800.

Almost surely, 213170235520 is an apocalyptic number.

13170235520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13170235520 is an abundant number, since it is smaller than the sum of its proper divisors (20736810520).

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

13170235520 is a wasteful number, since it uses less digits than its factorization.

13170235520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582993 (or 1582981 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The spelling of 13170235520 in words is "thirteen billion, one hundred seventy million, two hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 1582961 3165922 6331844 7914805 12663688 15829610 20578493 25327376 31659220 41156986 50654752 63318440 82313972 101309504 102892465 126636880 164627944 202619008 205784930 253273760 329255888 411569860 506547520 658511776 823139720 1013095040 1317023552 1646279440 2634047104 3292558880 6585117760 13170235520