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19972192737312 = 253269347891449
BaseRepresentation
bin1001000101010001000110…
…11101000001100000100000
32121201022201110012012101200
410202220203131001200200
510104211022320043222
6110251033152001200
74130641361133114
oct442504335014040
977638643165350
1019972192737312
116400183143002
1222a68b2b30200
13b1b4a62a964a
144d093311d744
152497c89e1eac
hex122a23741820

19972192737312 has 36 divisors (see below), whose sum is σ = 56795923097550. Its totient is φ = 6657397579008.

The previous prime is 19972192737269. The next prime is 19972192737383. The reversal of 19972192737312 is 21373729127991.

19972192737312 is a `hidden beast` number, since 1 + 9 + 9 + 72 + 192 + 7 + 373 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15004126202256 + 4968066535056 = 3873516^2 + 2228916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 19972192737312.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34673945437 + ... + 34673946012.

Almost surely, 219972192737312 is an apocalyptic number.

19972192737312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19972192737312 is an abundant number, since it is smaller than the sum of its proper divisors (36823730360238).

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

19972192737312 is a wasteful number, since it uses less digits than its factorization.

19972192737312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69347891465 (or 69347891454 counting only the distinct ones).

The product of its digits is 18003384, while the sum is 63.

The spelling of 19972192737312 in words is "nineteen trillion, nine hundred seventy-two billion, one hundred ninety-two million, seven hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 69347891449 138695782898 208043674347 277391565796 416087348694 554783131592 624131023041 832174697388 1109566263184 1248262046082 1664349394776 2219132526368 2496524092164 3328698789552 4993048184328 6657397579104 9986096368656 19972192737312