Search a number
-
+
2078032034736 = 243272061539717
BaseRepresentation
bin11110001111010100010…
…111000111101110110000
321100122202121212221010200
4132033110113013232300
5233021302200102421
64230345034155200
7303063366566430
oct36172427075660
97318677787120
102078032034736
11731319a00499
122968a0882b00
13120c5aa59ca8
147281210c2c0
15390c3815726
hex1e3d45c7bb0

2078032034736 has 60 divisors (see below), whose sum is σ = 6646404050832. Its totient is φ = 593723438208.

The previous prime is 2078032034719. The next prime is 2078032034759. The reversal of 2078032034736 is 6374302308702.

2078032034736 is a `hidden beast` number, since 207 + 80 + 3 + 20 + 347 + 3 + 6 = 666.

It is a super-3 number, since 3×20780320347363 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2078032034691 and 2078032034700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1030768851 + ... + 1030770866.

Almost surely, 22078032034736 is an apocalyptic number.

It is an amenable number.

2078032034736 is an abundant number, since it is smaller than the sum of its proper divisors (4568372016096).

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

2078032034736 is a wasteful number, since it uses less digits than its factorization.

2078032034736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061539738 (or 2061539729 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 2078032034736 in words is "two trillion, seventy-eight billion, thirty-two million, thirty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2061539717 4123079434 6184619151 8246158868 12369238302 14430778019 16492317736 18553857453 24738476604 28861556038 32984635472 37107714906 43292334057 49476953208 57723112076 74215429812 86584668114 98953906416 115446224152 129877002171 148430859624 173169336228 230892448304 259754004342 296861719248 346338672456 519508008684 692677344912 1039016017368 2078032034736