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3164131563424 = 251352611445749
BaseRepresentation
bin101110000010110100111…
…100000001011110100000
3102012111011202202120222121
4232002310330001132200
5403320120140012144
610421325412314024
7444413062345516
oct56026474013640
912174152676877
103164131563424
11100a99a862667
12431291312914
1319c4b7a334c0
14ad20540a4b6
155748dc93384
hex2e0b4f017a0

3164131563424 has 48 divisors (see below), whose sum is σ = 6709847193000. Its totient is φ = 1460089820160.

The previous prime is 3164131563389. The next prime is 3164131563449. The reversal of 3164131563424 is 4243651314613.

It can be written as a sum of positive squares in 4 ways, for example, as 3048055073424 + 116076490000 = 1745868^2 + 340700^2 .

It is a super-3 number, since 3×31641315634243 (a number of 38 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, 1465702 + ... + 2911450.

Almost surely, 23164131563424 is an apocalyptic number.

It is an amenable number.

3164131563424 is an abundant number, since it is smaller than the sum of its proper divisors (3545715629576).

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

3164131563424 is a wasteful number, since it uses less digits than its factorization.

3164131563424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451033 (or 1451025 counting only the distinct ones).

The product of its digits is 622080, while the sum is 43.

The spelling of 3164131563424 in words is "three trillion, one hundred sixty-four billion, one hundred thirty-one million, five hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 5261 10522 21044 42088 68393 84176 136786 168352 273572 547144 1094288 1445749 2188576 2891498 5782996 11565992 18794737 23131984 37589474 46263968 75178948 150357896 300715792 601431584 7606085489 15212170978 30424341956 60848683912 98879111357 121697367824 197758222714 243394735648 395516445428 791032890856 1582065781712 3164131563424