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20027732929416 = 2332337825409369
BaseRepresentation
bin1001000110111000100011…
…11010000010101110001000
32121220122002010212021211200
410203130101322002232020
510111113244112220131
6110332340303024200
74134645615025332
oct443342172025610
977818063767750
1020027732929416
116421794131413
1222b561329b060
13b237b7a93144
144d34c156a452
1524ae799452e6
hex123711e82b88

20027732929416 has 48 divisors (see below), whose sum is σ = 54402731576700. Its totient is φ = 6656101143552.

The previous prime is 20027732929397. The next prime is 20027732929417. The reversal of 20027732929416 is 61492923772002.

It is a happy number.

20027732929416 is a `hidden beast` number, since 2 + 0 + 0 + 27 + 7 + 329 + 294 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19604049101316 + 423683828100 = 4427646^2 + 650910^2 .

It is a super-2 number, since 2×200277329294162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20027732929417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412680421 + ... + 412728948.

Almost surely, 220027732929416 is an apocalyptic number.

It is an amenable number.

20027732929416 is an abundant number, since it is smaller than the sum of its proper divisors (34374998647284).

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

20027732929416 is a wasteful number, since it uses less digits than its factorization.

20027732929416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825409718 (or 825409711 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 20027732929416 in words is "twenty trillion, twenty-seven billion, seven hundred thirty-two million, nine hundred twenty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 337 674 1011 1348 2022 2696 3033 4044 6066 8088 12132 24264 825409369 1650818738 2476228107 3301637476 4952456214 6603274952 7428684321 9904912428 14857368642 19809824856 29714737284 59429474568 278162957353 556325914706 834488872059 1112651829412 1668977744118 2225303658824 2503466616177 3337955488236 5006933232354 6675910976472 10013866464708 20027732929416