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20083734694144 = 28112254632
BaseRepresentation
bin1001001000100000110111…
…10111110100100100000000
32122002222122000001200220001
410210100123313310210000
510113022442040203034
6110414201303125344
74142000445126412
oct444203367644400
978088560050801
1020083734694144
116443511720100
122304442143854
13b28b71098c34
144d60b50089b2
1524c656170a14
hex12441bdf4900

20083734694144 has 81 divisors (see below), whose sum is σ = 44066518220179. Its totient is φ = 9128611796480.

The previous prime is 20083734694073. The next prime is 20083734694151. The reversal of 20083734694144 is 44149643738002.

The square root of 20083734694144 is 4481488.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 788729157 + ... + 788754619.

Almost surely, 220083734694144 is an apocalyptic number.

20083734694144 is the 4481488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20083734694144

20083734694144 is an abundant number, since it is smaller than the sum of its proper divisors (23982783526035).

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

20083734694144 is an frugal number, since it uses more digits than its factorization.

20083734694144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50964 (or 25476 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 55.

The spelling of 20083734694144 in words is "twenty trillion, eighty-three billion, seven hundred thirty-four million, six hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 25463 30976 50926 101852 203704 280093 407408 560186 814816 1120372 1629632 2240744 3081023 3259264 4481488 6162046 6518528 8962976 12324092 17925952 24648184 35851904 49296368 71703808 98592736 197185472 394370944 648364369 788741888 1296728738 2593457476 5186914952 7132008059 10373829904 14264016118 20747659808 28528032236 41495319616 57056064472 78452088649 82990639232 114112128944 156904177298 165981278464 228224257888 313808354596 456448515776 627616709192 912897031552 1255233418384 1825794063104 2510466836768 5020933673536 10041867347072 20083734694144