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20752470918144 = 210327267792
BaseRepresentation
bin1001011011111110011111…
…01010000100010000000000
32201110220202101020201111100
410231333033222010100000
510210002030023340034
6112045315321214400
74241213401214100
oct455771752042000
981426671221440
1020752470918144
1166810898aa099
1223b1b74631400
13b76c463a9a24
1451a5d40d3200
1525ec456b7099
hex12dfcfa84400

20752470918144 has 297 divisors, whose sum is σ = 69715827696567. Its totient is φ = 5928402751488.

The previous prime is 20752470918133. The next prime is 20752470918173. The reversal of 20752470918144 is 44181907425702.

It is a happy number.

The square root of 20752470918144 is 4555488.

It is a perfect power (a square), and thus also a powerful number.

20752470918144 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 2 + 470 + 91 + 81 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3061284547 + ... + 3061291325.

Almost surely, 220752470918144 is an apocalyptic number.

20752470918144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20752470918144 is the 4555488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20752470918144

20752470918144 is an abundant number, since it is smaller than the sum of its proper divisors (48963356778423).

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

20752470918144 is an frugal number, since it uses more digits than its factorization.

20752470918144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13598 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 20752470918144 in words is "twenty trillion, seven hundred fifty-two billion, four hundred seventy million, nine hundred eighteen thousand, one hundred forty-four".